Matrix multiplication is distributive over matrix addition

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Question: In this exercise we show that matrix multiplication is distributive over matrix addition. a) Suppose that A and B are m × k matrices and that C is a k × n matrix. Show that (A + B)C = AC + BC. b) Suppose that C is anm × k matrix and that A andBare k × n matrices. Show that C(A + B) = CA + CB.

Reference no: EM131568069

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