##### Properties of Matrix Multiplication

If $$A\text{,}$$ $$B\text{,}$$ and $$C$$ are matrices such that the following operations are defined, it follows that

Associativity:

$$A(BC) = (AB)C\text{.}$$

Distributivity:

$$A(B+C) = AB+AC\text{.}$$

$$(A+B)C = AC+BC\text{.}$$

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