Notes - Linear Algebra I MT22, Chapter 7

Created: December 31, 2022

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• [[Course - Linear Algebra I MT22]]^U
• Content covered:
  • Prove if $B = {} _ {\mathcal{W}}T _ {\mathcal{V}}$ and $A = {} _ {\mathcal{V}}S _ \mathcal{V}$ then $BA = {} _ {\mathcal{W}}TS _ {\mathcal{U}}$. (The. 178)
  • Prove the change of basis theorem. (Cor. 184)
    • [[Notes - Linear Algebra I MT22, Change of basis theorem]]^U
  • Prove a linear system $(A \vert b)$ is consistent if and only if $\text{Col}(A \vert b) = \text{Col}(A)$. (Lem. 190)
  • Prove the column rank of a matrix equals its row rank. (The. 191).

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