Let and . Compute AD and DA. Explain how the columns or

Chapter 2, Problem 11E

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QUESTION:

Problem 11E

Let and . Compute AD and DA. Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Find a 3 × 3 matrix B, not the identity matrix or the zero matrix, such that AB = BA.

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QUESTION:

Problem 11E

Let and . Compute AD and DA. Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Find a 3 × 3 matrix B, not the identity matrix or the zero matrix, such that AB = BA.

ANSWER:

SOLUTION

Step1

Given two matrices

     

               and            

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