   Chapter 1.6, Problem 4TFE

Chapter
Section
Textbook Problem
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# Label each of the following statements as either true or false. ( A B ) n = A n B n for all square matrices A and B of order n over R .

To determine

Whether the statement ‘(AB)n=AnBn for all square matrices A and B of order n over R.’ is true or false.

Explanation

Let A=, B= be two square matrices of order 2 over R.

Then, AB=

Thus,

(AB)2=

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