(a) How does matrix multiplication interact with scalar multiplication: is r(GH) = (rG)H? Is G(rH) = r(GH)?...
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(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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Although we can do these by going through the indices the...View the full answer
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