Solved: In this exercise we show that matrix

Chapter 2, Problem 12E

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QUESTION:

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

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QUESTION:

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

ANSWER:

SolutionStep 1:In this problem we have to show that matrix multiplication is distributive over matrix addition.

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