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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.

Let A be a nonzero element in M m × n ( R ) and B and C elements in M n × p ( R ) . If A B = A C , then B = C .

To determine

Whether the statement, ‘If AB=AC, then B=C.’ is true or false where A is non zero element in Mm×n(R) and B and C are elements in Mn×p(R).

Explanation

Let A=[0100], B=[0010], C=[1010].

Then,

AB=[0100][0010]

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