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47. Prove that if A and B are square matrices and AB is invertible, then both A and B are invertible.

47. Prove that if A and B are square matrices and AB is invertible, then both A and B are invertible.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 9E
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47. Prove that if A and B are square matrices and AB is invertible, then both A and B are invertible.
Transcribed Image Text:47. Prove that if A and B are square matrices and AB is invertible, then both A and B are invertible.
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