Khan Academy - Linear Algebra

1. 3-variable-linear-equations--part-1.flv6.12MB
2. a-more-formal-understanding-of-functions.mp434.28MB
3. column-space-of-a-matrix.mp424.66MB
4. compositions-of-linear-transformations-1.mp423.29MB
5. compositions-of-linear-transformations-2.mp439.08MB
6. defining-a-plane-in-r3-with-a-point-and-normal-vector.mp430.87MB
7. defining-the-angle-between-vectors.mp457.79MB
8. determining-whether-a-transformation-is-onto.mp454.7MB
9. dimension-of-the-column-space-or-rank.mp430.63MB
10. dimension-of-the-null-space-or-nullity.mp433.2MB
11. distance-between-planes.mp430.3MB
12. distributive-property-of-matrix-products.mp418.5MB
13. dot-and-cross-product-comparison-intuition.mp440.8MB
14. expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod.mp435.25MB
15. im-t----image-of-a-transformation.mp436.82MB
16. image-of-a-subset-under-a-transformation.mp462.76MB
17. introduction-to-matrices.flv12MB
18. introduction-to-projections.mp424.7MB
19. introduction-to-the-null-space-of-a-matrix.mp421.12MB
20. inverse-matrix--part-1.flv10.81MB
21. inverting-matrices--part-2.flv12.94MB
22. inverting-matrices--part-3.flv14.47MB
23. lin-alg---orthogonal-complement-of-the-orthogonal-complement.mp422.71MB
24. lin-alg---orthogonal-matrices-preserve-angles-and-lengths.mp432.34MB
25. lin-alg--a-projection-onto-a-subspace-is-a-linear-transforma.mp436.38MB
26. lin-alg--alternate-basis-tranformation-matrix-example-part-2.mp457.99MB
27. lin-alg--alternate-basis-tranformation-matrix-example.mp428.43MB
28. lin-alg--another-example-of-a-projection-matrix.mp452.87MB
29. lin-alg--changing-coordinate-systems-to-help-find-a-transformation-matrix.mp473.81MB
30. lin-alg--example-using-orthogonal-change-of-basis-matrix-to-find-transformation-matrix.mp471.55MB
31. lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example.mp417.65MB
32. lin-alg--invertible-change-of-basis-matrix.mp427.66MB
33. lin-alg--orthogonal-complement-of-the-nullspace.mp45.16MB
34. lin-alg--projections-onto-subspaces-with-orthonormal-bases.mp454.84MB
35. lin-alg--representing-vectors-in-rn-using-subspace-members.mp458.84MB
36. lin-alg--showing-that-a-transpose-x-a-is-invertible.mp428.71MB
37. lin-alg--transformation-matrix-with-respect-to-a-basis.mp442.27MB
38. lin-alg--unique-rowspace-solution-to-ax-b.mp445.99MB
39. lin-alg--visualizations-of-left-nullspace-and-rowspace.mp466.48MB
40. linear-alg--projection-is-closest-vector-in-subspace.mp415.53MB
41. linear-alg--rowspace-solution-to-ax-b-example.mp452.4MB
42. linear-alg--visualizing-a-projection-onto-a-plane.mp415.57MB
43. linear-algebra---correction--scalar-muliplication-of-row.mp44MB
44. linear-algebra---determinant-and-area-of-a-parallelogram.mp450.42MB
45. linear-algebra---determinant-of-transpose.mp432.87MB
46. linear-algebra---eigenvectors-and-eigenspaces-for-a-3x3-matrix.mp452.68MB
47. linear-algebra---finding-eigenvectors-and-eigenspaces-example.mp447.04MB
48. linear-algebra---gram-schmidt-example-with-3-basis-vectors.mp450.98MB
49. linear-algebra---showing-that-an-eigenbasis-makes-for-good-coordinate-systems.mp439.99MB
50. linear-algebra---transposes-of-sums-and-inverses.mp414.23MB
51. linear-algebra--3x3-determinant.mp419.49MB
52. linear-algebra--another-least-squares-example.mp433.58MB
53. linear-algebra--basis-of-a-subspace.mp442.77MB
54. linear-algebra--change-of-basis-matrix.mp433.58MB
55. linear-algebra--coordinates-with-respect-to-a-basis.mp427.82MB
56. linear-algebra--coordinates-with-respect-to-orthonormal-bases.mp448.99MB
57. linear-algebra--cross-product-introduction.mp433.84MB
58. linear-algebra--deriving-a-method-for-determining-inverses.mp440.53MB
59. linear-algebra--determinant-after-row-operations.mp419.29MB
60. linear-algebra--determinant-as-scaling-factor.mp449.45MB
61. linear-algebra--determinant-when-row-is-added.mp429.11MB
62. linear-algebra--determinant-when-row-multiplied-by-scalar.mp427.02MB
63. linear-algebra--determinants-along-other-rows-cols.mp415.35MB
64. linear-algebra--dim-v----dim-orthogonoal-complelent-of-v--n.mp417.97MB
65. linear-algebra--duplicate-row-determinant.mp416.27MB
66. linear-algebra--eigenvalues-of-a-3x3-matrix.mp448.96MB
67. linear-algebra--example-of-finding-matrix-inverse.mp49.02MB
68. linear-algebra--example-solving-for-the-eigenvalues-of-a-2x2-matrix.mp418.36MB
69. linear-algebra--exploring-the-solution-set-of-ax-b.mp437.95MB
70. linear-algebra--formula-for-2x2-inverse.mp438.98MB
71. linear-algebra--gram-schmidt-process-example.mp439.87MB
72. linear-algebra--introduction-to-eigenvalues-and-eigenvectors.mp421.11MB
73. linear-algebra--introduction-to-linear-independence.mp439.73MB
74. linear-algebra--introduction-to-orthonormal-bases.mp433.53MB
75. linear-algebra--introduction-to-the-inverse-of-a-function.mp440.68MB
76. linear-algebra--introduction-to-vectors.mp434.87MB
77. linear-algebra--least-squares-approximation.mp437.12MB
78. linear-algebra--least-squares-examples.mp443.86MB
79. linear-algebra--matrix-condition-for-one-to-one-trans.mp445.49MB
80. linear-algebra--matrix-product-examples.mp435.87MB
81. linear-algebra--nxn-determinant.mp446.11MB
82. linear-algebra--orthogonal-complements.mp445.04MB
83. linear-algebra--parametric-representations-of-lines.mp466.64MB
84. linear-algebra--projections-onto-subspaces.mp436.21MB
85. linear-algebra--proof-of-formula-for-determining-eigenvalues.mp425.28MB
86. linear-algebra--rank-a----rank-transpose-of-a.mp423.83MB
87. linear-algebra--rowspace-and-left-nullspace.mp462.85MB
88. linear-algebra--rule-of-sarrus-of-determinants.mp413.26MB
89. linear-algebra--showing-that-inverses-are-linear.mp446.37MB
90. linear-algebra--simpler-4x4-determinant.mp418.65MB
91. linear-algebra--simplifying-conditions-for-invertibility.mp411.14MB
92. linear-algebra--subspace-projection-matrix-example.mp423.16MB
93. linear-algebra--the-gram-schmidt-process.mp463.59MB
94. linear-algebra--transpose-of-a-matrix.mp411.94MB
95. linear-algebra--transpose-of-a-vector.mp422.03MB
96. linear-algebra--upper-triangular-determinant.mp414.2MB
97. linear-algebra--vector-examples.mp461.99MB
98. linear-algebra--vector-triangle-inequality.mp442.25MB
99. linear-combinations-and-span.mp462.74MB
100. linear-subspaces.mp462.59MB
101. linear-transformation-examples--rotations-in-r2.mp438.77MB
102. linear-transformation-examples--scaling-and-reflections.mp457.85MB
103. linear-transformations-as-matrix-vector-products.mp438.83MB
104. linear-transformations.mp430.16MB
105. matrices--reduced-row-echelon-form-1.mp435.87MB
106. matrices--reduced-row-echelon-form-2.mp412.05MB
107. matrices--reduced-row-echelon-form-3.mp423.07MB
108. matrices-to-solve-a-system-of-equations.flv13.26MB
109. matrices-to-solve-a-vector-combination-problem.flv11.55MB
110. matrix-multiplication--part-1.flv11.33MB
111. matrix-multiplication--part-2.flv11.62MB
112. matrix-product-associativity.mp423.17MB
113. matrix-vector-products-as-linear-transformations.mp438.33MB
114. matrix-vector-products.mp441.95MB
115. more-on-linear-independence.mp433.88MB
116. more-on-matrix-addition-and-scalar-multiplication.mp422.1MB
117. normal-vector-from-plane-equation.mp417.09MB
118. null-space-2--calculating-the-null-space-of-a-matrix.mp430.27MB
119. null-space-3--relation-to-linear-independence.mp423.41MB
120. null-space-and-column-space-basis.mp462.96MB
121. point-distance-to-plane.mp435.94MB
122. preimage-and-kernel-example.mp442.42MB
123. preimage-of-a-set.mp410.05MB
124. proof--any-subspace-basis-has-same-number-of-elements.mp448.91MB
125. proof--invertibility-implies-a-unique-solution-to-f-x--y.mp459.24MB
126. proof--relationship-between-cross-product-and-sin-of-angle.mp449.74MB
127. proof-of-the-cauchy-schwarz-inequality.mp436.32MB
128. proving-vector-dot-product-properties.mp422.76MB
129. relating-invertibility-to-being-onto-and-one-to-one.mp413.04MB
130. rotation-in-r3-around-the-x-axis.mp421.79MB
131. showing-relation-between-basis-cols-and-pivot-cols.mp422.99MB
132. showing-that-the-candidate-basis-does-span-c-a.mp437.03MB
133. singular-matrices.flv12.39MB
134. solving-3-equations-with-3-unknowns.flv16.41MB
135. span-and-linear-independence-example.mp440.04MB
136. sums-and-scalar-multiples-of-linear-transformations.mp432.97MB
137. surjective--onto--and-injective--one-to-one--functions.mp418.57MB
138. unit-vectors.mp412.6MB
139. vector-dot-product-and-vector-length.mp418.1MB
140. vector-transformations.mp427.52MB
141. vector-triple-product-expansion--very-optional.mp427.74MB
142. visualizing-a-column-space-as-a-plane-in-r3.mp466.73MB