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0:04:42
6-8 - Rank as a maximal number of linearly independent rows
0:07:27
6-7 - A to D with elementary operations - Theorem 3.6
0:06:15
6-5 - The rank of a matrix
0:09:20
6-3 - Matrix of linear transformation in a different basis
0:12:57
6-2 - Change of coordinate matrix - Theorem 2.22
0:12:53
6-4 - Elementary matices
0:07:05
6-1 - Matrix inverse - Theorem 2.18
0:07:35
5-11 Isomorphism phi_beta - standard representation
0:10:56
5-9 - Invertibility and isomorphisms
0:10:50
5-10 - Isomorphic spaces - Theorem 2.19
0:13:14
5-7 - Linear transformation as matrix-vector multiplication - Theorem 2.14
0:11:48
5-8 - Transformation L_A
0:05:41
5-4 - Matrix multiplication - properties
0:14:36
5-5 - Composite of linear transformations
0:07:57
5-6 - Matrix-vector multiplication
0:08:59
5-2 - The matrix of a linear transformation
0:11:18
5-1 - Ordered basis and coordinate vector
0:07:47
5-3 - Matrix multiplication - definition
0:05:38
4-10 - Kernel of a one-to-one linear transformation - Theorem 2.4
0:08:54
4-11 - Linear tansformstion and a basis
0:07:26
4-9 - One-to-one and onto transformations
0:12:41
4-6 - Generating set for R(T) - Theorem 2.2
0:05:30
4-7 - Rank-Nullity-Dimension Theorem
0:13:38
4-8 - Dimension Theorem proof
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