Question: In the proof of Theorem 2.12 we used some maps. What are the domains and codomains? Theorem 2.12 If F, G, and H are matrices,

In the proof of Theorem 2.12 we used some maps. What are the domains and codomains?
Theorem 2.12
If F, G, and H are matrices, and the matrix products are defined, then the product is associative (FG)H = F(GH) and distributes over matrix addition F(G + H) = FG + FH and (G + H)F = GF + HF.

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