12-240/Classnotes for Tuesday November 6

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Riddle

Find A and B such that AB - BA = I

Theorems

1. Given U with basis \alpha, V with basis \beta, W with basis \gamma, [T \circ S]_\alpha^\beta = [T]_\beta^\gamma \times [S]_\alpha^\beta

2. For A \in M_(m \times n) and B \in M_(n \times p) and C \in M_(p \times q), (AB)C = A(BC)

Lecture notes scanned by Zetalda