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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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Let A , B and C be square matrices of order n over . Prove that if A is an invertible and A B = A C , then B = C .

To determine

To prove: Let A,B, and C are square matrices of order n over and if A is invertible and AB=AC then B=C.

Explanation

Given information:

A,B, and C are square matrices of order n over and if A is invertible.

Proof:

Let A,B, and C are square matrices of order n over and if A is invertible.

Let A1 is inverse of A.

Therefore, AA1=A1A=I where IMn()

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