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6-8 - Rank as a maximal number of linearly independent rows

6-7 - A to D with elementary operations - Theorem 3.6

6-5 - The rank of a matrix

6-3 - Matrix of linear transformation in a different basis

6-2 - Change of coordinate matrix - Theorem 2.22

6-4 - Elementary matices

6-1 - Matrix inverse - Theorem 2.18

5-11 Isomorphism phi_beta - standard representation

5-9 - Invertibility and isomorphisms

5-10 - Isomorphic spaces - Theorem 2.19

5-7 - Linear transformation as matrix-vector multiplication - Theorem 2.14

5-8 - Transformation L_A

5-4 - Matrix multiplication - properties

5-5 - Composite of linear transformations

5-6 - Matrix-vector multiplication

5-2 - The matrix of a linear transformation

5-1 - Ordered basis and coordinate vector

5-3 - Matrix multiplication - definition

4-10 - Kernel of a one-to-one linear transformation - Theorem 2.4

4-11 - Linear tansformstion and a basis

4-9 - One-to-one and onto transformations

4-6 - Generating set for R(T) - Theorem 2.2

4-7 - Rank-Nullity-Dimension Theorem

4-8 - Dimension Theorem proof