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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Label each of the following statements as either true or false.

The set of diagonal matrices of order n over R is closed with respect to matrix addition.

To determine

Whether the statement, ‘The set of diagonal matrices of order n over R is closed with respect to matrix addition.’ is true or false.

Explanation

Let us consider two matrices of order n over R.

A=[a1000a2000an], B=[b1000b2000

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