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[] Udemy - Linear Algebra and Geometry 1

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文件列表

  1. 10 Determinants/015 Evaluating determinants by cofactor expansion along rows or columns.mp4 620MB
  2. 05 Some applications in mathematics and natural sciences/005 Solving systems of linear equations (Calculus) Problem 4.mp4 572MB
  3. 04 Solving systems of linear equations; Gaussian elimination/023 Gauss–Jordan elimination, Problem 13.mp4 567MB
  4. 04 Solving systems of linear equations; Gaussian elimination/009 Gaussian elimination, Problem 3.mp4 558MB
  5. 04 Solving systems of linear equations; Gaussian elimination/022 Gauss–Jordan elimination, Problem 12.mp4 520MB
  6. 05 Some applications in mathematics and natural sciences/004 Solving systems of linear equations (Calculus) Problem 3.mp4 514MB
  7. 09 Linear systems and matrices/004 Determining consistency by elimination, Problem 2.mp4 465MB
  8. 04 Solving systems of linear equations; Gaussian elimination/017 General formulation of the algorithm in Gauss–Jordan elimination.mp4 458MB
  9. 10 Determinants/033 Problem 14_ Vandermonde determinant.mp4 456MB
  10. 08 Elementary matrices and a method for finding A inverse/008 Matrix equations, Problem 6.mp4 438MB
  11. 04 Solving systems of linear equations; Gaussian elimination/021 Gauss–Jordan elimination, Problem 11.mp4 406MB
  12. 08 Elementary matrices and a method for finding A inverse/001 Inverse matrices, introduction to the algorithm.mp4 406MB
  13. 04 Solving systems of linear equations; Gaussian elimination/016 How to read solutions from REF and RREF matrices_.mp4 403MB
  14. 08 Elementary matrices and a method for finding A inverse/009 Matrix inverse, Problem 7.mp4 387MB
  15. 04 Solving systems of linear equations; Gaussian elimination/010 Gaussian elimination, Problem 4.mp4 376MB
  16. 09 Linear systems and matrices/001 Formally about the number of solutions to systems of linear equations.mp4 349MB
  17. 07 Inverses; Algebraic properties of matrices/012 Solving matrix equations, Problem 2.mp4 343MB
  18. 08 Elementary matrices and a method for finding A inverse/007 Matrix equations, Problem 5.mp4 342MB
  19. 10 Determinants/013 Sarrus’ rule for 3-by-3 determinants.mp4 339MB
  20. 09 Linear systems and matrices/003 Solution of a linear system using A inverse, Problem 1.mp4 335MB
  21. 10 Determinants/025 Invertible matrices, determinant test with a proof, Problem 8.mp4 332MB
  22. 04 Solving systems of linear equations; Gaussian elimination/012 Gaussian elimination, Problem 6.mp4 315MB
  23. 04 Solving systems of linear equations; Gaussian elimination/018 Gauss–Jordan elimination, Problem 8.mp4 313MB
  24. 04 Solving systems of linear equations; Gaussian elimination/011 Gaussian elimination, Problem 5.mp4 312MB
  25. 07 Inverses; Algebraic properties of matrices/006 Sometimes commutativity happens, Problem 1.mp4 310MB
  26. 10 Determinants/022 Determinant equations, Problem 5.mp4 302MB
  27. 08 Elementary matrices and a method for finding A inverse/003 Matrix inverse, Problem 1.mp4 289MB
  28. 06 Matrices and matrix operations/013 Various matrix operations, Problem 8.mp4 287MB
  29. 07 Inverses; Algebraic properties of matrices/004 Matrix multiplication is associative.mp4 282MB
  30. 09 Linear systems and matrices/005 Matrix equations, Problem 3.mp4 278MB
  31. 05 Some applications in mathematics and natural sciences/006 Problem 5 (Chemistry).mp4 277MB
  32. 05 Some applications in mathematics and natural sciences/007 Problem 6 (Electrical circuits).mp4 271MB
  33. 10 Determinants/031 Problem 12, another large determinant.mp4 268MB
  34. 04 Solving systems of linear equations; Gaussian elimination/007 How to write the augmented matrix for a given system of equations, Problem 1.mp4 258MB
  35. 08 Elementary matrices and a method for finding A inverse/005 Matrix equations, Problem 3.mp4 250MB
  36. 10 Determinants/007 Conclusion 2_ What happens when one column is a linear combination of others.mp4 249MB
  37. 06 Matrices and matrix operations/012 Various matrix operations, Problem 7.mp4 239MB
  38. 10 Determinants/027 Cramer’s rule, Problem 9.mp4 232MB
  39. 07 Inverses; Algebraic properties of matrices/017 Various rules, Problem 3.mp4 223MB
  40. 10 Determinants/010 Elementary column operations.mp4 208MB
  41. 10 Determinants/026 Cramer’s rule, a proof, an example, and a geometrical interpretation.mp4 207MB
  42. 05 Some applications in mathematics and natural sciences/003 Solving systems of linear equations (Calculus) Problem 2.mp4 206MB
  43. 08 Elementary matrices and a method for finding A inverse/004 Matrix inverse, Problem 2.mp4 205MB
  44. 10 Determinants/032 Problem 13_ a trigonometric determinant.mp4 203MB
  45. 10 Determinants/028 Inverse matrix, an explicit formula.mp4 200MB
  46. 04 Solving systems of linear equations; Gaussian elimination/019 Gauss–Jordan elimination, Problem 9.mp4 192MB
  47. 10 Determinants/020 Properties of determinants, Problem 3.mp4 190MB
  48. 04 Solving systems of linear equations; Gaussian elimination/001 Our earlier problem revisited; an algebraical solution.mp4 182MB
  49. 10 Determinants/029 Invertible matrices, Problem 10.mp4 180MB
  50. 04 Solving systems of linear equations; Gaussian elimination/015 Preparation to the general formulation of the algorithm; REF and RREF matrices.mp4 178MB
  51. 10 Determinants/021 Determinant equations, Problem 4.mp4 176MB
  52. 11 Vectors in 2-space, 3-space, and n-space/003 Computations with vectors, Problem 1.mp4 172MB
  53. 02 Some basic concepts/007 Linear combinations.mp4 166MB
  54. 07 Inverses; Algebraic properties of matrices/007 Two distributive laws.mp4 164MB
  55. 10 Determinants/016 Evaluating determinants by row or column reduction.mp4 157MB
  56. 08 Elementary matrices and a method for finding A inverse/006 Matrix equations, Problem 4.mp4 156MB
  57. 01 Introduction to the course/001 Introduction.mp4 153MB
  58. 08 Elementary matrices and a method for finding A inverse/013 Four equivalent statements.mp4 148MB
  59. 04 Solving systems of linear equations; Gaussian elimination/008 How to write system of equations to a given augmented matrix, Problem 2.mp4 148MB
  60. 05 Some applications in mathematics and natural sciences/002 Solving systems of linear equations (Calculus) Problem 1.mp4 144MB
  61. 11 Vectors in 2-space, 3-space, and n-space/006 Parallel vectors, Problem 4.mp4 143MB
  62. 07 Inverses; Algebraic properties of matrices/014 Computation rules for transposed matrices.mp4 139MB
  63. 09 Linear systems and matrices/002 Two more statements in our important theorem.mp4 137MB
  64. 11 Vectors in 2-space, 3-space, and n-space/004 Computations with vectors, Problem 2.mp4 132MB
  65. 07 Inverses; Algebraic properties of matrices/011 Inverse matrix for 2-by-2 matrices; non-zero determinant.mp4 129MB
  66. 10 Determinants/019 Properties of determinants, Problem 2.mp4 124MB
  67. 02 Some basic concepts/009 Linear transformations.mp4 124MB
  68. 04 Solving systems of linear equations; Gaussian elimination/014 Gaussian elimination, Problem 7.mp4 123MB
  69. 02 Some basic concepts/001 Coordinate systems and coordinates in the plane and in the 3-space.mp4 123MB
  70. 07 Inverses; Algebraic properties of matrices/003 Matrix multiplication has a neutral element for square matrices.mp4 120MB
  71. 07 Inverses; Algebraic properties of matrices/015 Supplement to Video 83; Inverse of a product.mp4 119MB
  72. 04 Solving systems of linear equations; Gaussian elimination/020 Gaussian elimination, Problem 10.mp4 112MB
  73. 06 Matrices and matrix operations/006 Matrix multiplication, with geometrical interpretation.mp4 111MB
  74. 11 Vectors in 2-space, 3-space, and n-space/002 Computation rules for vector addition and scaling.mp4 108MB
  75. 11 Vectors in 2-space, 3-space, and n-space/005 Computations with vectors, Problem 3.mp4 105MB
  76. 10 Determinants/003 Geometrical interpretations of determinants.mp4 105MB
  77. 10 Determinants/005 Definition of determinants.mp4 102MB
  78. 10 Determinants/018 Properties of determinants, Problem 1.mp4 101MB
  79. 11 Vectors in 2-space, 3-space, and n-space/007 Parallel vectors, Problem 5.mp4 100MB
  80. 05 Some applications in mathematics and natural sciences/001 Solving systems of linear equations in Linear Algebra and Geometry.mp4 94MB
  81. 10 Determinants/012 How to compute 3-by-3 determinants from the definition.mp4 82MB
  82. 10 Determinants/014 Determinant of transposed matrix; row operations.mp4 76MB
  83. 06 Matrices and matrix operations/010 Transposed matrix, definition and some examples.mp4 76MB
  84. 10 Determinants/008 Conclusion 3_ About adding a multiple of a column to another column.mp4 72MB
  85. 08 Elementary matrices and a method for finding A inverse/010 Elementary operations and elementary matrices.mp4 72MB
  86. 04 Solving systems of linear equations; Gaussian elimination/002 Three elementary operations.mp4 71MB
  87. 02 Some basic concepts/002 Slope-intercept equations of straight lines in the plane.mp4 70MB
  88. 10 Determinants/004 Geometrically about the determinant of a product.mp4 69MB
  89. 07 Inverses; Algebraic properties of matrices/010 Inverse matrices; not all non-zero square matrices have an inverse.mp4 69MB
  90. 10 Determinants/001 Why the determinants are important.mp4 68MB
  91. 08 Elementary matrices and a method for finding A inverse/012 A really important theorem.mp4 67MB
  92. 04 Solving systems of linear equations; Gaussian elimination/006 The same example solved with matrix operations; coefficient matrix and augmented.mp4 67MB
  93. 02 Some basic concepts/012 Pythagorean Theorem and distance between points.mp4 67MB
  94. 02 Some basic concepts/003 Normal equations of planes in the 3-space.mp4 64MB
  95. 02 Some basic concepts/006 Vector addition and vector scaling.mp4 64MB
  96. 03 Systems of linear equations; building up your geometrical intuition/003 Linear and non-linear equations.mp4 63MB
  97. 02 Some basic concepts/010 Matrix—vector multiplication.mp4 60MB
  98. 02 Some basic concepts/011 Rules for computations with real numbers.mp4 59MB
  99. 03 Systems of linear equations; building up your geometrical intuition/002 Solution set.mp4 59MB
  100. 08 Elementary matrices and a method for finding A inverse/002 Algorithm for inverse matrices, an example.mp4 58MB
  101. 06 Matrices and matrix operations/005 Matrix scaling, Problem 2.mp4 57MB
  102. 10 Determinants/011 How to compute 2-by-2 determinants from the definition.mp4 57MB
  103. 02 Some basic concepts/004 Vectors.mp4 56MB
  104. 11 Vectors in 2-space, 3-space, and n-space/001 Vectors, a repetition.mp4 55MB
  105. 06 Matrices and matrix operations/001 Introduction to matrices.mp4 55MB
  106. 02 Some basic concepts/014 Cosine Rule.mp4 55MB
  107. 10 Determinants/006 Conclusion 1_ Determinant of matrices with interchanged columns.mp4 55MB
  108. 03 Systems of linear equations; building up your geometrical intuition/005 Solution sets of systems of linear equations.mp4 54MB
  109. 03 Systems of linear equations; building up your geometrical intuition/009 Possible solution sets of 3 × 3 systems of linear equations.mp4 53MB
  110. 06 Matrices and matrix operations/002 Different types of matrices.mp4 51MB
  111. 06 Matrices and matrix operations/009 Matrix multiplication and systems of equations, Problem 4.mp4 50MB
  112. 02 Some basic concepts/005 Scalars.mp4 48MB
  113. 10 Determinants/002 2-by-2 determinants; notation for n-by-n determinants.mp4 48MB
  114. 04 Solving systems of linear equations; Gaussian elimination/003 What is Gauss—Jordan elimination and Gaussian elimination_.mp4 48MB
  115. 07 Inverses; Algebraic properties of matrices/005 Matrix multiplication is not commutative.mp4 44MB
  116. 10 Determinants/030 Problem 11, a large determinant.mp4 43MB
  117. 10 Determinants/009 Conclusion 4_ Determinant of kA for any k ∈ R.mp4 43MB
  118. 03 Systems of linear equations; building up your geometrical intuition/007 Possible solution sets of 2 × 2 systems of linear equations.mp4 43MB
  119. 07 Inverses; Algebraic properties of matrices/001 Properties of matrix operations, an introduction.mp4 42MB
  120. 02 Some basic concepts/008 Matrices.mp4 42MB
  121. 06 Matrices and matrix operations/007 Matrix multiplication, how to do.mp4 42MB
  122. 03 Systems of linear equations; building up your geometrical intuition/011 Possible solution sets of m × n systems of linear equations.mp4 41MB
  123. 04 Solving systems of linear equations; Gaussian elimination/004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.mp4 39MB
  124. 03 Systems of linear equations; building up your geometrical intuition/008 Possible solution sets of 3 × 2 systems of linear equations.mp4 38MB
  125. 10 Determinants/023 Determinant equations, Problem 6.mp4 37MB
  126. 04 Solving systems of linear equations; Gaussian elimination/013 What happens if the system is inconsistent_.mp4 36MB
  127. 06 Matrices and matrix operations/008 Matrix multiplication, Problem 3.mp4 35MB
  128. 08 Elementary matrices and a method for finding A inverse/011 Inverse elementary operations and their matrices.mp4 35MB
  129. 01 Introduction to the course/001 Slides Introduction to the course.pdf 35MB
  130. 03 Systems of linear equations; building up your geometrical intuition/001 Different ways of looking at equations.mp4 34MB
  131. 06 Matrices and matrix operations/004 Matrix scaling, with geometrical interpretation.mp4 33MB
  132. 07 Inverses; Algebraic properties of matrices/002 Matrix addition has all the good properties.mp4 32MB
  133. 02 Some basic concepts/013 Sine, cosine, and pythagorean identity.mp4 32MB
  134. 10 Determinants/017 Determinant of inverse.mp4 32MB
  135. 03 Systems of linear equations; building up your geometrical intuition/006 An example of a 2 × 2 system of linear equations, a graphical solution.mp4 31MB
  136. 04 Solving systems of linear equations; Gaussian elimination/005 The same example solved with Gaussian elimination and back-substitution.mp4 30MB
  137. 10 Determinants/024 Determinant equations, Problem 7.mp4 30MB
  138. 06 Matrices and matrix operations/003 Matrix addition and subtraction, Problem 1.mp4 27MB
  139. 03 Systems of linear equations; building up your geometrical intuition/004 Systems of linear equations.mp4 27MB
  140. 07 Inverses; Algebraic properties of matrices/009 There is no cancellation law for matrix multiplication.mp4 27MB
  141. 07 Inverses; Algebraic properties of matrices/016 Inverse of a transposed matrix.mp4 27MB
  142. 03 Systems of linear equations; building up your geometrical intuition/010 Possible solution sets of 2 × 3 systems of linear equations.mp4 22MB
  143. 06 Matrices and matrix operations/011 Trace of a matrix, definition and an example.mp4 20MB
  144. 07 Inverses; Algebraic properties of matrices/013 Powers of matrices; powers of diagonal matrices.mp4 19MB
  145. 07 Inverses; Algebraic properties of matrices/008 Matrix multiplication does not have the zero-product property.mp4 18MB
  146. 10 Determinants/109 Slides Definition of determinants.pdf 5MB
  147. 02 Some basic concepts/009 Slides Matrices.pdf 5MB
  148. 07 Inverses; Algebraic properties of matrices/078 Slides There is no cancellation law for matrix multiplication.pdf 4MB
  149. 10 Determinants/111 Slides Conclusion 2 What happens when one column is a linear combination of the other columns.pdf 4MB
  150. 10 Determinants/107 Slides Geometrical interpretations of determinants.pdf 3MB
  151. 08 Elementary matrices and a method for finding A inverse/088 Slides Algorithm for inverse matrices An example.pdf 3MB
  152. 08 Elementary matrices and a method for finding A inverse/097 Slides Inverse elementary operations and their matrices.pdf 3MB
  153. 10 Determinants/119 Notes Cofactor expansion along columns or rows.pdf 3MB
  154. 10 Determinants/110 Slides Conclusion 1 Determinant of matrices with interchanged columns.pdf 3MB
  155. 10 Determinants/132 Slides Inverse matrix An explicit formula.pdf 3MB
  156. 10 Determinants/119 Slides Cofactor expansion along columns or rows.pdf 3MB
  157. 05 Some applications in mathematics and natural sciences/054 Notes Problem 4 Calculus.pdf 3MB
  158. 10 Determinants/122 Slides Properties of determinants Problem 1.pdf 3MB
  159. 03 Systems of linear equations; building up your geometrical intuition/017 Slides Solution set.pdf 2MB
  160. 06 Matrices and matrix operations/062 Slides Matrix multiplication with geometrical interpretation.pdf 2MB
  161. 04 Solving systems of linear equations; Gaussian elimination/048 Notes Gaussian elimination Problem 12.pdf 2MB
  162. 10 Determinants/137 Notes Problem 14 Vandermonde determinant.pdf 2MB
  163. 10 Determinants/124 Slides Properties of determinants Problem 3.pdf 2MB
  164. 03 Systems of linear equations; building up your geometrical intuition/024 Slides Possible solution sets of 3 by 3 systems of linear equations.pdf 2MB
  165. 09 Linear systems and matrices/103 Notes Determining consistency by elimination Problem 2.pdf 2MB
  166. 04 Solving systems of linear equations; Gaussian elimination/049 Notes Gauss Jordan elimination Problem 13.pdf 2MB
  167. 10 Determinants/116 Slides How to compute 3 by 3 determinants from the definition.pdf 2MB
  168. 02 Some basic concepts/010 Slides Linear transformations.pdf 2MB
  169. 05 Some applications in mathematics and natural sciences/053 Notes Problem 3 Calculus.pdf 2MB
  170. 03 Systems of linear equations; building up your geometrical intuition/019 Slides Systems of linear equations.pdf 2MB
  171. 04 Solving systems of linear equations; Gaussian elimination/047 Notes Gauss Jordan elimination Problem 11.pdf 2MB
  172. 04 Solving systems of linear equations; Gaussian elimination/035 Notes Gaussian elimination Problem 3.pdf 2MB
  173. 06 Matrices and matrix operations/064 Slides Matrix multiplication Problem 3.pdf 2MB
  174. 10 Determinants/108 Slides Geometrically about the determinant of a product.pdf 2MB
  175. 04 Solving systems of linear equations; Gaussian elimination/032 Slides The same example solved with matrix operations Coefficient matrix and augmented matrix.pdf 2MB
  176. 08 Elementary matrices and a method for finding A inverse/099 Slides Four equivalent statements.pdf 2MB
  177. 10 Determinants/129 Slides Invertible matrices Determinant test with a proof Problem 8.pdf 2MB
  178. 07 Inverses; Algebraic properties of matrices/080 Slides Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf 2MB
  179. 07 Inverses; Algebraic properties of matrices/081 Slides Solving matrix equations Problem 2.pdf 2MB
  180. 04 Solving systems of linear equations; Gaussian elimination/043 Notes General formulation of the algorithm in Gauss Jordan elimination.pdf 2MB
  181. 04 Solving systems of linear equations; Gaussian elimination/036 Notes Gaussian elimination Problem 4.pdf 2MB
  182. 06 Matrices and matrix operations/063 Slides Matrix multiplication how to do.pdf 2MB
  183. 08 Elementary matrices and a method for finding A inverse/094 Notes Matrix equations Problem 6.pdf 2MB
  184. 10 Determinants/113 Slides Conclusion 4 Determinant of kA for any real k.pdf 2MB
  185. 08 Elementary matrices and a method for finding A inverse/091 Slides Matrix equations Problem 3.pdf 2MB
  186. 08 Elementary matrices and a method for finding A inverse/092 Slides Matrix equations Problem 4.pdf 2MB
  187. 04 Solving systems of linear equations; Gaussian elimination/041 Slides Preparation to the general formulation of the algorithm REF and RREF matrices.pdf 2MB
  188. 09 Linear systems and matrices/100 Notes Formally about the number of solutions to systems of linear equations.pdf 2MB
  189. 07 Inverses; Algebraic properties of matrices/073 Slides Matrix multiplication is associative.pdf 2MB
  190. 10 Determinants/123 Slides Properties of determinants Problem 2.pdf 2MB
  191. 04 Solving systems of linear equations; Gaussian elimination/042 Notes How to read solutions from REF and RREF matrices.pdf 2MB
  192. 08 Elementary matrices and a method for finding A inverse/095 Notes Matrix inverse Problem 7.pdf 2MB
  193. 06 Matrices and matrix operations/057 Slides Introduction to matrices.pdf 2MB
  194. 10 Determinants/118 Slides Determinant of transposed matrix Row operations.pdf 2MB
  195. 07 Inverses; Algebraic properties of matrices/074 Slides Matrix multiplication is not commutative.pdf 2MB
  196. 10 Determinants/130 Slides Cramers rule Proof Example Geometrical interpretation.pdf 2MB
  197. 02 Some basic concepts/003 Slides Slope intercept equations of lines in the plane.pdf 2MB
  198. 10 Determinants/137 Article-Solved-Problems-Determinants.pdf 2MB
  199. 04 Solving systems of linear equations; Gaussian elimination/044 Notes Gauss Jordan elimination Problem 8.pdf 1MB
  200. 08 Elementary matrices and a method for finding A inverse/096 Slides Elementary operations and elementary matrices.pdf 1MB
  201. 08 Elementary matrices and a method for finding A inverse/087 Notes Inverse matrices Introduction to the algorithm.pdf 1MB
  202. 07 Inverses; Algebraic properties of matrices/075 Notes Sometimes commutativity happens Problem 1.pdf 1MB
  203. 08 Elementary matrices and a method for finding A inverse/089 Notes Matrix inverse Problem 1.pdf 1MB
  204. 05 Some applications in mathematics and natural sciences/055 Notes Problem 5 Chemistry.pdf 1MB
  205. 09 Linear systems and matrices/102 Notes Solution of a linear system using A inverse Problem 1.pdf 1MB
  206. 10 Determinants/120 Slides Evaluating determinants by row or column reduction.pdf 1MB
  207. 07 Inverses; Algebraic properties of matrices/081 Notes Solving matrix equations Problem 2.pdf 1MB
  208. 04 Solving systems of linear equations; Gaussian elimination/037 Notes Gaussian elimination Problem 5.pdf 1MB
  209. 05 Some applications in mathematics and natural sciences/056 Notes Problem 6 Electrical circuits.pdf 1MB
  210. 10 Determinants/111 Notes Conclusion 2 What happens when one column is a linear combination of the other columns.pdf 1MB
  211. 03 Systems of linear equations; building up your geometrical intuition/020 Slides Solution sets of systems of linear equations.pdf 1MB
  212. 10 Determinants/126 Notes Determinant equations Problem 5.pdf 1MB
  213. 10 Determinants/135 Notes Problem 12 Another large determinant.pdf 1MB
  214. 06 Matrices and matrix operations/069 Notes Various matrix operations Problem 8.pdf 1MB
  215. 06 Matrices and matrix operations/065 Slides Matrix multiplication and systems of equations Problem 4.pdf 1MB
  216. 04 Solving systems of linear equations; Gaussian elimination/038 Notes Gaussian elimination Problem 6.pdf 1MB
  217. 08 Elementary matrices and a method for finding A inverse/093 Notes Matrix equations Problem 5.pdf 1MB
  218. 10 Determinants/121 Slides Determinant of inverse.pdf 1MB
  219. 10 Determinants/136 Notes Problem 13 A trigonometric determinant.pdf 1MB
  220. 04 Solving systems of linear equations; Gaussian elimination/029 Slides What is Gauss Jordan and Gaussian elimination.pdf 1MB
  221. 10 Determinants/131 Notes Cramers rule, Problem 9.pdf 1MB
  222. 02 Some basic concepts/011 Slides Matrix vector multiplication.pdf 1MB
  223. 10 Determinants/134 Slides Problem 11 A large determinant.pdf 1MB
  224. 02 Some basic concepts/008 Slides Linear combinations.pdf 1MB
  225. 08 Elementary matrices and a method for finding A inverse/091 Notes Matrix equations Problem 3.pdf 1MB
  226. 06 Matrices and matrix operations/060 Slides Matrix scaling with geometrical interpretation.pdf 1MB
  227. 05 Some applications in mathematics and natural sciences/052 Notes Problem 2 Calculus.pdf 1MB
  228. 10 Determinants/131 Slides Cramers rule, Problem 9.pdf 1MB
  229. 10 Determinants/137 Slides Problem 14 Vandermonde determinant.pdf 1MB
  230. 07 Inverses; Algebraic properties of matrices/073 Notes Matrix multiplication is associative.pdf 1MB
  231. 10 Determinants/115 Slides How to compute 2 by 2 determinants from the definition.pdf 1MB
  232. 04 Solving systems of linear equations; Gaussian elimination/031 Slides The same example solved with Gaussian elimination and back-substitution.pdf 1MB
  233. 01 Introduction to the course/001 Outline_Linear_Algebra_and_Geometry_1.pdf 1MB
  234. 03 Systems of linear equations; building up your geometrical intuition/026 Slides Possible solution sets of m by n systems of linear equations.pdf 1MB
  235. 04 Solving systems of linear equations; Gaussian elimination/045 Notes Gauss Jordan elimination Problem 9.pdf 1MB
  236. 10 Determinants/133 Notes Inverse matrix An explicit formula Problem 10.pdf 1MB
  237. 04 Solving systems of linear equations; Gaussian elimination/042 Slides How to read solutions from REF and RREF matrices.pdf 1MB
  238. 10 Determinants/129 Notes Invertible matrices Determinant test with a proof Problem 8.pdf 1MB
  239. 10 Determinants/133 Slides Inverse matrix An explicit formula Problem 10.pdf 1008KB
  240. 02 Some basic concepts/002 Slides Coordinate systems and coordinates.pdf 996KB
  241. 03 Systems of linear equations; building up your geometrical intuition/022 Slides Possible solution sets of 2 by 2 systems of linear equations.pdf 985KB
  242. 07 Inverses; Algebraic properties of matrices/086 Notes Various rules Problem 3.pdf 971KB
  243. 10 Determinants/120 Notes Evaluating determinants by row or column reduction.pdf 960KB
  244. 02 Some basic concepts/005 Slides Vectors.pdf 952KB
  245. 09 Linear systems and matrices/104 Notes Matrix equations Problem 3.pdf 949KB
  246. 06 Matrices and matrix operations/059 Slides Matrix addition and subtraction Problem 1.pdf 918KB
  247. 04 Solving systems of linear equations; Gaussian elimination/028 Slides Three elementary operations.pdf 911KB
  248. 04 Solving systems of linear equations; Gaussian elimination/043 Slides General formulation of the algorithm in Gauss Jordan elimination.pdf 907KB
  249. 06 Matrices and matrix operations/068 Notes Various matrix operations Problem 7.pdf 901KB
  250. 10 Determinants/114 Notes Elementary column operations.pdf 888KB
  251. 10 Determinants/117 Notes Sarrus method for 3 by 3 determinants.pdf 848KB
  252. 09 Linear systems and matrices/102 Slides Solution of a linear system using A inverse Problem 1.pdf 826KB
  253. 10 Determinants/123 Notes Properties of determinants Problem 2.pdf 795KB
  254. 10 Determinants/124 Notes Properties of determinants Problem 3.pdf 794KB
  255. 10 Determinants/114 Slides Elementary column operations.pdf 794KB
  256. 10 Determinants/130 Notes Cramers rule Proof Example Geometrical interpretation.pdf 792KB
  257. 04 Solving systems of linear equations; Gaussian elimination/033 Notes How to write the augmented matrix for a given system of equations Problem 1.pdf 776KB
  258. 06 Matrices and matrix operations/067 Slides Trace of a matrix Definition and an example.pdf 751KB
  259. 04 Solving systems of linear equations; Gaussian elimination/027 Notes An example of a 2 by 2 system of linear equations An algebraical solution.pdf 747KB
  260. 08 Elementary matrices and a method for finding A inverse/092 Notes Matrix equations Problem 4.pdf 745KB
  261. 06 Matrices and matrix operations/066 Slides Transposed matrix Definition and some examples.pdf 744KB
  262. 10 Determinants/117 Slides Sarrus method for 3 by 3 determinants.pdf 742KB
  263. 10 Determinants/105 Slides Why the determinants are important.pdf 737KB
  264. 10 Determinants/112 Slides Conclusion 3 About adding a multiple of a column to another column.pdf 734KB
  265. 10 Determinants/128 Slides Determinant equations Problem 7.pdf 723KB
  266. 09 Linear systems and matrices/103 Slides Determining consistency by elimination Problem 2.pdf 721KB
  267. 09 Linear systems and matrices/100 Slides Formally about the number of solutions to systems of linear equations.pdf 720KB
  268. 09 Linear systems and matrices/101 Notes Two more statements in our important theorem.pdf 716KB
  269. 07 Inverses; Algebraic properties of matrices/071 Slides Matrix addition has all the good properties.pdf 711KB
  270. 09 Linear systems and matrices/101 Slides Two more statements in our important theorem.pdf 708KB
  271. 02 Some basic concepts/013 Slides Pythagorean Theorem and distance between points.pdf 690KB
  272. 10 Determinants/132 Notes Inverse matrix An explicit formula.pdf 689KB
  273. 07 Inverses; Algebraic properties of matrices/083 Notes Computation rules for transposed matrices.pdf 686KB
  274. 02 Some basic concepts/015 Slides Cosine Rule.pdf 685KB
  275. 05 Some applications in mathematics and natural sciences/051 Notes Problem 1 Calculus.pdf 668KB
  276. 07 Inverses; Algebraic properties of matrices/082 Slides Powers of matrices Powers of diagonal matrices.pdf 668KB
  277. 08 Elementary matrices and a method for finding A inverse/090 Notes Matrix inverse Problem 2.pdf 659KB
  278. 10 Determinants/122 Notes Properties of determinants Problem 1.pdf 651KB
  279. 08 Elementary matrices and a method for finding A inverse/098 Slides A really important theorem.pdf 649KB
  280. 02 Some basic concepts/004 Slides Normal equations of planes in the 3-space.pdf 642KB
  281. 08 Elementary matrices and a method for finding A inverse/099 Notes Four equivalent statements.pdf 640KB
  282. 02 Some basic concepts/014 Slides Sine cosine and pythagorean identity.pdf 633KB
  283. 07 Inverses; Algebraic properties of matrices/076 Notes Two distributive laws.pdf 632KB
  284. 07 Inverses; Algebraic properties of matrices/086 Slides Various rules Problem 3.pdf 620KB
  285. 02 Some basic concepts/008 Notes Linear combinations.pdf 606KB
  286. 06 Matrices and matrix operations/069 Slides Various matrix operations Problem 8.pdf 601KB
  287. 07 Inverses; Algebraic properties of matrices/072 Notes Matrix multiplication has a neutral element for square matrices.pdf 587KB
  288. 07 Inverses; Algebraic properties of matrices/084 Slides Supplement to Video 83 Inverse of a product.pdf 572KB
  289. 04 Solving systems of linear equations; Gaussian elimination/041 Notes Preparation to the general formulation of the algorithm REF and RREF matrices.pdf 570KB
  290. 10 Determinants/106 Slides 2-by-2 determinants Notation for n by n determinants.pdf 563KB
  291. 04 Solving systems of linear equations; Gaussian elimination/040 Notes Gaussian elimination Problem 7.pdf 560KB
  292. 10 Determinants/125 Notes Determinant equations Problem 4.pdf 548KB
  293. 10 Determinants/112 Notes Conclusion 3 About adding a multiple of a column to another column.pdf 546KB
  294. 04 Solving systems of linear equations; Gaussian elimination/046 Notes Gauss Jordan elimination Problem 10.pdf 537KB
  295. 04 Solving systems of linear equations; Gaussian elimination/034 Notes How to write system of equations corresponding to a given augmented matrix Problem 2.pdf 537KB
  296. 10 Determinants/127 Slides Determinant equations Problem 6.pdf 526KB
  297. 06 Matrices and matrix operations/061 Slides Matrix scaling Problem 2.pdf 497KB
  298. 07 Inverses; Algebraic properties of matrices/084 Notes Supplement to Video 83.pdf 488KB
  299. 03 Systems of linear equations; building up your geometrical intuition/021 Slides An example of a 2 by 2 system of linear equations A graphical solution.pdf 486KB
  300. 04 Solving systems of linear equations; Gaussian elimination/030 Slides Gauss Jordan elimination Example 2 by 2 unique solution.pdf 467KB
  301. 07 Inverses; Algebraic properties of matrices/080 Notes Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf 466KB
  302. 02 Some basic concepts/007 Slides Vector addition and vector scaling.pdf 443KB
  303. 06 Matrices and matrix operations/061 Notes Matrix scaling Problem 2.pdf 418KB
  304. 06 Matrices and matrix operations/066 Notes Transposed matrix Definition and some examples.pdf 399KB
  305. 07 Inverses; Algebraic properties of matrices/085 Slides Inverse of a transposed matrix.pdf 350KB
  306. 04 Solving systems of linear equations; Gaussian elimination/039 Slides What happens if the system is inconsistent.pdf 349KB
  307. 05 Some applications in mathematics and natural sciences/052 Slides Problem 2 Calculus.pdf 330KB
  308. 03 Systems of linear equations; building up your geometrical intuition/018 Slides Linear and nonlinear equations.pdf 328KB
  309. 07 Inverses; Algebraic properties of matrices/079 Slides Inverse matrices Not all non-zero square matrices have an inverse.pdf 316KB
  310. 06 Matrices and matrix operations/058 Slides Different types of matrices.pdf 308KB
  311. 09 Linear systems and matrices/104 Slides Matrix equations Problem 3.pdf 294KB
  312. 07 Inverses; Algebraic properties of matrices/083 Slides Computation rules for transposed matrices.pdf 293KB
  313. 08 Elementary matrices and a method for finding A inverse/095 Slides Matrix inverse Problem 7.pdf 293KB
  314. 07 Inverses; Algebraic properties of matrices/070 Slides Properties of matrix operations An introduction.pdf 285KB
  315. 07 Inverses; Algebraic properties of matrices/076 Slides Two distributive laws.pdf 280KB
  316. 10 Determinants/125 Slides Determinant equations Problem 4.pdf 274KB
  317. 10 Determinants/126 Slides Determinant equations Problem 5.pdf 274KB
  318. 04 Solving systems of linear equations; Gaussian elimination/027 Slides An example of a 2 by 2 system of linear equations An algebraical solution.pdf 271KB
  319. 05 Some applications in mathematics and natural sciences/051 Slides Problem 1 Calculus.pdf 269KB
  320. 04 Solving systems of linear equations; Gaussian elimination/049 Slides Gauss Jordan elimination Problem 13.pdf 266KB
  321. 07 Inverses; Algebraic properties of matrices/075 Slides Sometimes commutativity happens Problem 1.pdf 264KB
  322. 04 Solving systems of linear equations; Gaussian elimination/045 Slides Gauss Jordan elimination Problem 9.pdf 261KB
  323. 05 Some applications in mathematics and natural sciences/055 Slides Problem 5 Chemistry.pdf 223KB
  324. 10 Determinants/136 Slides Problem 13 A trigonometric determinant.pdf 222KB
  325. 04 Solving systems of linear equations; Gaussian elimination/044 Slides Gauss Jordan elimination Problem 8.pdf 211KB
  326. 10 Determinants/135 Slides Problem 12 Another large determinant.pdf 206KB
  327. 05 Some applications in mathematics and natural sciences/050 Slides Solving systems of linear equations in Linear Algebra and Geometry.pdf 204KB
  328. 04 Solving systems of linear equations; Gaussian elimination/046 Slides Gauss Jordan elimination Problem 10.pdf 198KB
  329. 08 Elementary matrices and a method for finding A inverse/089 Slides Matrix inverse Problem 1.pdf 193KB
  330. 06 Matrices and matrix operations/068 Slides Various matrix operations Problem 7.pdf 190KB
  331. 08 Elementary matrices and a method for finding A inverse/090 Slides Matrix inverse Problem 2.pdf 185KB
  332. 08 Elementary matrices and a method for finding A inverse/093 Slides Matrix equations Problem 5.pdf 172KB
  333. 08 Elementary matrices and a method for finding A inverse/094 Slides Matrix equations Problem 6.pdf 172KB
  334. 04 Solving systems of linear equations; Gaussian elimination/034 Slides How to write system of equations corresponding to a given augmented matrix Problem 2.pdf 170KB
  335. 04 Solving systems of linear equations; Gaussian elimination/035 Slides Gaussian elimination Problem 3.pdf 169KB
  336. 07 Inverses; Algebraic properties of matrices/077 Slides Matrix multiplication does not have the zero-product property.pdf 169KB
  337. 04 Solving systems of linear equations; Gaussian elimination/037 Slides Gaussian elimination Problem 5.pdf 168KB
  338. 04 Solving systems of linear equations; Gaussian elimination/036 Slides Gaussian elimination Problem 4.pdf 168KB
  339. 04 Solving systems of linear equations; Gaussian elimination/033 Slides How to write the augmented matrix for a given system of equations Problem 1.pdf 167KB
  340. 08 Elementary matrices and a method for finding A inverse/099 Article-Solved-Problems-Matrix-Inverse.pdf 167KB
  341. 05 Some applications in mathematics and natural sciences/056 Slides Problem 6 Electrical circuits.pdf 161KB
  342. 07 Inverses; Algebraic properties of matrices/072 Slides Matrix multiplication has a neutral element for square matrices.pdf 158KB
  343. 02 Some basic concepts/012 Slides Rules for computations with real numbers.pdf 150KB
  344. 05 Some applications in mathematics and natural sciences/054 Slides Problem 4 Calculus.pdf 145KB
  345. 04 Solving systems of linear equations; Gaussian elimination/048 Slides Gaussian elimination Problem 12.pdf 145KB
  346. 05 Some applications in mathematics and natural sciences/053 Slides Problem 3 Calculus.pdf 144KB
  347. 04 Solving systems of linear equations; Gaussian elimination/047 Slides Gauss Jordan elimination Problem 11.pdf 144KB
  348. 04 Solving systems of linear equations; Gaussian elimination/040 Slides Gaussian elimination Problem 7.pdf 142KB
  349. 04 Solving systems of linear equations; Gaussian elimination/038 Slides Gaussian elimination Problem 6.pdf 142KB
  350. 03 Systems of linear equations; building up your geometrical intuition/016 Slides Different ways of looking at equations.pdf 123KB
  351. 04 Solving systems of linear equations; Gaussian elimination/049 Article-Solved-Problems-Systems-of-Equations.pdf 121KB
  352. 08 Elementary matrices and a method for finding A inverse/087 Slides Inverse matrices Introduction to the algorithm.pdf 107KB
  353. 07 Inverses; Algebraic properties of matrices/086 Article-Solved-Problems-Matrix-Arithmetics.pdf 104KB
  354. 10 Determinants/015 Evaluating determinants by cofactor expansion along rows or columns.en.srt 48KB
  355. 04 Solving systems of linear equations; Gaussian elimination/009 Gaussian elimination, Problem 3.en.srt 29KB
  356. 04 Solving systems of linear equations; Gaussian elimination/016 How to read solutions from REF and RREF matrices_.en.srt 29KB
  357. 10 Determinants/028 Inverse matrix, an explicit formula.en.srt 28KB
  358. 04 Solving systems of linear equations; Gaussian elimination/017 General formulation of the algorithm in Gauss–Jordan elimination.en.srt 28KB
  359. 05 Some applications in mathematics and natural sciences/005 Solving systems of linear equations (Calculus) Problem 4.en.srt 28KB
  360. 10 Determinants/033 Problem 14_ Vandermonde determinant.en.srt 27KB
  361. 04 Solving systems of linear equations; Gaussian elimination/023 Gauss–Jordan elimination, Problem 13.en.srt 27KB
  362. 02 Some basic concepts/009 Linear transformations.en.srt 27KB
  363. 10 Determinants/025 Invertible matrices, determinant test with a proof, Problem 8.en.srt 26KB
  364. 04 Solving systems of linear equations; Gaussian elimination/022 Gauss–Jordan elimination, Problem 12.en.srt 26KB
  365. 05 Some applications in mathematics and natural sciences/004 Solving systems of linear equations (Calculus) Problem 3.en.srt 25KB
  366. 02 Some basic concepts/007 Linear combinations.en.srt 25KB
  367. 09 Linear systems and matrices/001 Formally about the number of solutions to systems of linear equations.en.srt 23KB
  368. 09 Linear systems and matrices/004 Determining consistency by elimination, Problem 2.en.srt 23KB
  369. 02 Some basic concepts/001 Coordinate systems and coordinates in the plane and in the 3-space.en.srt 23KB
  370. 10 Determinants/013 Sarrus’ rule for 3-by-3 determinants.en.srt 23KB
  371. 06 Matrices and matrix operations/013 Various matrix operations, Problem 8.en.srt 21KB
  372. 08 Elementary matrices and a method for finding A inverse/008 Matrix equations, Problem 6.en.srt 21KB
  373. 10 Determinants/003 Geometrical interpretations of determinants.en.srt 21KB
  374. 10 Determinants/007 Conclusion 2_ What happens when one column is a linear combination of others.en.srt 20KB
  375. 10 Determinants/026 Cramer’s rule, a proof, an example, and a geometrical interpretation.en.srt 20KB
  376. 07 Inverses; Algebraic properties of matrices/004 Matrix multiplication is associative.en.srt 20KB
  377. 04 Solving systems of linear equations; Gaussian elimination/021 Gauss–Jordan elimination, Problem 11.en.srt 19KB
  378. 06 Matrices and matrix operations/006 Matrix multiplication, with geometrical interpretation.en.srt 19KB
  379. 05 Some applications in mathematics and natural sciences/007 Problem 6 (Electrical circuits).en.srt 19KB
  380. 07 Inverses; Algebraic properties of matrices/012 Solving matrix equations, Problem 2.en.srt 19KB
  381. 04 Solving systems of linear equations; Gaussian elimination/018 Gauss–Jordan elimination, Problem 8.en.srt 19KB
  382. 10 Determinants/014 Determinant of transposed matrix; row operations.en.srt 19KB
  383. 08 Elementary matrices and a method for finding A inverse/009 Matrix inverse, Problem 7.en.srt 18KB
  384. 04 Solving systems of linear equations; Gaussian elimination/010 Gaussian elimination, Problem 4.en.srt 18KB
  385. 08 Elementary matrices and a method for finding A inverse/001 Inverse matrices, introduction to the algorithm.en.srt 17KB
  386. 04 Solving systems of linear equations; Gaussian elimination/015 Preparation to the general formulation of the algorithm; REF and RREF matrices.en.srt 17KB
  387. 09 Linear systems and matrices/003 Solution of a linear system using A inverse, Problem 1.en.srt 17KB
  388. 08 Elementary matrices and a method for finding A inverse/007 Matrix equations, Problem 5.en.srt 17KB
  389. 02 Some basic concepts/012 Pythagorean Theorem and distance between points.en.srt 17KB
  390. 05 Some applications in mathematics and natural sciences/006 Problem 5 (Chemistry).en.srt 17KB
  391. 08 Elementary matrices and a method for finding A inverse/013 Four equivalent statements.en.srt 17KB
  392. 04 Solving systems of linear equations; Gaussian elimination/012 Gaussian elimination, Problem 6.en.srt 16KB
  393. 10 Determinants/031 Problem 12, another large determinant.en.srt 16KB
  394. 08 Elementary matrices and a method for finding A inverse/003 Matrix inverse, Problem 1.en.srt 16KB
  395. 10 Determinants/005 Definition of determinants.en.srt 16KB
  396. 04 Solving systems of linear equations; Gaussian elimination/011 Gaussian elimination, Problem 5.en.srt 16KB
  397. 01 Introduction to the course/001 Introduction.en.srt 16KB
  398. 10 Determinants/022 Determinant equations, Problem 5.en.srt 16KB
  399. 10 Determinants/012 How to compute 3-by-3 determinants from the definition.en.srt 16KB
  400. 07 Inverses; Algebraic properties of matrices/017 Various rules, Problem 3.en.srt 15KB
  401. 10 Determinants/029 Invertible matrices, Problem 10.en.srt 15KB
  402. 10 Determinants/027 Cramer’s rule, Problem 9.en.srt 15KB
  403. 02 Some basic concepts/004 Vectors.en.srt 15KB
  404. 03 Systems of linear equations; building up your geometrical intuition/002 Solution set.en.srt 15KB
  405. 09 Linear systems and matrices/005 Matrix equations, Problem 3.en.srt 14KB
  406. 10 Determinants/010 Elementary column operations.en.srt 14KB
  407. 03 Systems of linear equations; building up your geometrical intuition/003 Linear and non-linear equations.en.srt 14KB
  408. 07 Inverses; Algebraic properties of matrices/006 Sometimes commutativity happens, Problem 1.en.srt 14KB
  409. 08 Elementary matrices and a method for finding A inverse/005 Matrix equations, Problem 3.en.srt 13KB
  410. 06 Matrices and matrix operations/012 Various matrix operations, Problem 7.en.srt 13KB
  411. 10 Determinants/016 Evaluating determinants by row or column reduction.en.srt 13KB
  412. 04 Solving systems of linear equations; Gaussian elimination/006 The same example solved with matrix operations; coefficient matrix and augmented.en.srt 13KB
  413. 04 Solving systems of linear equations; Gaussian elimination/007 How to write the augmented matrix for a given system of equations, Problem 1.en.srt 13KB
  414. 11 Vectors in 2-space, 3-space, and n-space/002 Computation rules for vector addition and scaling.en.srt 13KB
  415. 08 Elementary matrices and a method for finding A inverse/010 Elementary operations and elementary matrices.en.srt 13KB
  416. 02 Some basic concepts/014 Cosine Rule.en.srt 12KB
  417. 02 Some basic concepts/006 Vector addition and vector scaling.en.srt 12KB
  418. 07 Inverses; Algebraic properties of matrices/015 Supplement to Video 83; Inverse of a product.en.srt 12KB
  419. 10 Determinants/006 Conclusion 1_ Determinant of matrices with interchanged columns.en.srt 12KB
  420. 03 Systems of linear equations; building up your geometrical intuition/005 Solution sets of systems of linear equations.en.srt 12KB
  421. 02 Some basic concepts/002 Slope-intercept equations of straight lines in the plane.en.srt 11KB
  422. 02 Some basic concepts/011 Rules for computations with real numbers.en.srt 11KB
  423. 10 Determinants/002 2-by-2 determinants; notation for n-by-n determinants.en.srt 11KB
  424. 07 Inverses; Algebraic properties of matrices/010 Inverse matrices; not all non-zero square matrices have an inverse.en.srt 11KB
  425. 03 Systems of linear equations; building up your geometrical intuition/009 Possible solution sets of 3 × 3 systems of linear equations.en.srt 11KB
  426. 08 Elementary matrices and a method for finding A inverse/004 Matrix inverse, Problem 2.en.srt 11KB
  427. 06 Matrices and matrix operations/001 Introduction to matrices.en.srt 11KB
  428. 06 Matrices and matrix operations/002 Different types of matrices.en.srt 11KB
  429. 07 Inverses; Algebraic properties of matrices/014 Computation rules for transposed matrices.en.srt 11KB
  430. 06 Matrices and matrix operations/009 Matrix multiplication and systems of equations, Problem 4.en.srt 11KB
  431. 02 Some basic concepts/003 Normal equations of planes in the 3-space.en.srt 11KB
  432. 07 Inverses; Algebraic properties of matrices/011 Inverse matrix for 2-by-2 matrices; non-zero determinant.en.srt 11KB
  433. 04 Solving systems of linear equations; Gaussian elimination/002 Three elementary operations.en.srt 10KB
  434. 08 Elementary matrices and a method for finding A inverse/002 Algorithm for inverse matrices, an example.en.srt 10KB
  435. 04 Solving systems of linear equations; Gaussian elimination/001 Our earlier problem revisited; an algebraical solution.en.srt 10KB
  436. 05 Some applications in mathematics and natural sciences/003 Solving systems of linear equations (Calculus) Problem 2.en.srt 10KB
  437. 10 Determinants/020 Properties of determinants, Problem 3.en.srt 10KB
  438. 09 Linear systems and matrices/002 Two more statements in our important theorem.en.srt 10KB
  439. 10 Determinants/032 Problem 13_ a trigonometric determinant.en.srt 10KB
  440. 04 Solving systems of linear equations; Gaussian elimination/004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.en.srt 10KB
  441. 07 Inverses; Algebraic properties of matrices/007 Two distributive laws.en.srt 9KB
  442. 10 Determinants/024 Determinant equations, Problem 7.en.srt 9KB
  443. 10 Determinants/021 Determinant equations, Problem 4.en.srt 9KB
  444. 11 Vectors in 2-space, 3-space, and n-space/001 Vectors, a repetition.en.srt 9KB
  445. 04 Solving systems of linear equations; Gaussian elimination/019 Gauss–Jordan elimination, Problem 9.en.srt 9KB
  446. 11 Vectors in 2-space, 3-space, and n-space/007 Parallel vectors, Problem 5.en.srt 9KB
  447. 03 Systems of linear equations; building up your geometrical intuition/008 Possible solution sets of 3 × 2 systems of linear equations.en.srt 9KB
  448. 04 Solving systems of linear equations; Gaussian elimination/003 What is Gauss—Jordan elimination and Gaussian elimination_.en.srt 9KB
  449. 10 Determinants/009 Conclusion 4_ Determinant of kA for any k ∈ R.en.srt 9KB
  450. 11 Vectors in 2-space, 3-space, and n-space/003 Computations with vectors, Problem 1.en.srt 9KB
  451. 02 Some basic concepts/010 Matrix—vector multiplication.en.srt 8KB
  452. 05 Some applications in mathematics and natural sciences/001 Solving systems of linear equations in Linear Algebra and Geometry.en.srt 8KB
  453. 08 Elementary matrices and a method for finding A inverse/006 Matrix equations, Problem 4.en.srt 8KB
  454. 07 Inverses; Algebraic properties of matrices/003 Matrix multiplication has a neutral element for square matrices.en.srt 8KB
  455. 10 Determinants/030 Problem 11, a large determinant.en.srt 8KB
  456. 07 Inverses; Algebraic properties of matrices/005 Matrix multiplication is not commutative.en.srt 8KB
  457. 07 Inverses; Algebraic properties of matrices/002 Matrix addition has all the good properties.en.srt 8KB
  458. 05 Some applications in mathematics and natural sciences/002 Solving systems of linear equations (Calculus) Problem 1.en.srt 8KB
  459. 10 Determinants/004 Geometrically about the determinant of a product.en.srt 8KB
  460. 10 Determinants/011 How to compute 2-by-2 determinants from the definition.en.srt 8KB
  461. 10 Determinants/023 Determinant equations, Problem 6.en.srt 8KB
  462. 06 Matrices and matrix operations/008 Matrix multiplication, Problem 3.en.srt 8KB
  463. 11 Vectors in 2-space, 3-space, and n-space/004 Computations with vectors, Problem 2.en.srt 7KB
  464. 10 Determinants/019 Properties of determinants, Problem 2.en.srt 7KB
  465. 02 Some basic concepts/008 Matrices.en.srt 7KB
  466. 11 Vectors in 2-space, 3-space, and n-space/006 Parallel vectors, Problem 4.en.srt 7KB
  467. 04 Solving systems of linear equations; Gaussian elimination/008 How to write system of equations to a given augmented matrix, Problem 2.en.srt 7KB
  468. 08 Elementary matrices and a method for finding A inverse/011 Inverse elementary operations and their matrices.en.srt 7KB
  469. 10 Determinants/017 Determinant of inverse.en.srt 7KB
  470. 02 Some basic concepts/013 Sine, cosine, and pythagorean identity.en.srt 6KB
  471. 06 Matrices and matrix operations/004 Matrix scaling, with geometrical interpretation.en.srt 6KB
  472. 04 Solving systems of linear equations; Gaussian elimination/020 Gaussian elimination, Problem 10.en.srt 6KB
  473. 03 Systems of linear equations; building up your geometrical intuition/011 Possible solution sets of m × n systems of linear equations.en.srt 6KB
  474. 07 Inverses; Algebraic properties of matrices/009 There is no cancellation law for matrix multiplication.en.srt 6KB
  475. 06 Matrices and matrix operations/007 Matrix multiplication, how to do.en.srt 6KB
  476. 04 Solving systems of linear equations; Gaussian elimination/014 Gaussian elimination, Problem 7.en.srt 6KB
  477. 08 Elementary matrices and a method for finding A inverse/012 A really important theorem.en.srt 6KB
  478. 10 Determinants/018 Properties of determinants, Problem 1.en.srt 6KB
  479. 07 Inverses; Algebraic properties of matrices/001 Properties of matrix operations, an introduction.en.srt 6KB
  480. 06 Matrices and matrix operations/010 Transposed matrix, definition and some examples.en.srt 5KB
  481. 10 Determinants/008 Conclusion 3_ About adding a multiple of a column to another column.en.srt 5KB
  482. 03 Systems of linear equations; building up your geometrical intuition/001 Different ways of looking at equations.en.srt 5KB
  483. 11 Vectors in 2-space, 3-space, and n-space/005 Computations with vectors, Problem 3.en.srt 5KB
  484. 06 Matrices and matrix operations/003 Matrix addition and subtraction, Problem 1.en.srt 5KB
  485. 03 Systems of linear equations; building up your geometrical intuition/007 Possible solution sets of 2 × 2 systems of linear equations.en.srt 5KB
  486. 07 Inverses; Algebraic properties of matrices/016 Inverse of a transposed matrix.en.srt 5KB
  487. 10 Determinants/001 Why the determinants are important.en.srt 5KB
  488. 03 Systems of linear equations; building up your geometrical intuition/004 Systems of linear equations.en.srt 5KB
  489. 04 Solving systems of linear equations; Gaussian elimination/013 What happens if the system is inconsistent_.en.srt 5KB
  490. 03 Systems of linear equations; building up your geometrical intuition/010 Possible solution sets of 2 × 3 systems of linear equations.en.srt 4KB
  491. 07 Inverses; Algebraic properties of matrices/013 Powers of matrices; powers of diagonal matrices.en.srt 4KB
  492. 04 Solving systems of linear equations; Gaussian elimination/005 The same example solved with Gaussian elimination and back-substitution.en.srt 4KB
  493. 06 Matrices and matrix operations/011 Trace of a matrix, definition and an example.en.srt 4KB
  494. 07 Inverses; Algebraic properties of matrices/008 Matrix multiplication does not have the zero-product property.en.srt 4KB
  495. 03 Systems of linear equations; building up your geometrical intuition/006 An example of a 2 × 2 system of linear equations, a graphical solution.en.srt 3KB
  496. 06 Matrices and matrix operations/005 Matrix scaling, Problem 2.en.srt 3KB
  497. 02 Some basic concepts/005 Scalars.en.srt 2KB
  498. 01 Introduction to the course/[Tutorialsplanet.NET].url 128B
  499. 07 Inverses; Algebraic properties of matrices/[Tutorialsplanet.NET].url 128B
  500. 10 Determinants/[Tutorialsplanet.NET].url 128B
  501. 11 Vectors in 2-space, 3-space, and n-space/[Tutorialsplanet.NET].url 128B
  502. [Tutorialsplanet.NET].url 128B
  503. 03 Systems of linear equations; building up your geometrical intuition/023 Slides Possible solution sets of 3 by 2 systems of linear equations Overdetermined systems.pdf 0B
  504. 03 Systems of linear equations; building up your geometrical intuition/025 Slides Possible solution sets of 2 by 3 systems of linear equations Underdetermined systems.pdf 0B