# 12-240/Classnotes for Tuesday November 6

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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)