Question: (a) How does matrix multiplication interact with scalar multiplication: is r(GH) = (rG)H? Is G(rH) = r(GH)? (b) How does matrix multiplication interact with linear

(a) How does matrix multiplication interact with scalar multiplication: is r(GH) = (rG)H? Is G(rH) = r(GH)?
(b) How does matrix multiplication interact with linear combinations: is F(rG + sH) = r(FG) + s(FH)? Is (rF + sG)H = rFH + sGH?

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