Show that matrix addition is associative: that is, show

Chapter 2, Problem 9E

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QUESTION:

Problem 9E

Show that matrix addition is associative: that is, show that if A, B, and C are all m × n matrices, then A + (B + C) = (A + B) + C.

Questions & Answers

QUESTION:

Problem 9E

Show that matrix addition is associative: that is, show that if A, B, and C are all m × n matrices, then A + (B + C) = (A + B) + C.

ANSWER:

SOLUTION

Step 1

In this problem we are asked to show that the matrix addition is associative.

Therefore we have to show   ,where A,B,C are matrices.

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