Question 3 (True/False: if it is true, prove it; if it is false, give one counterexample). Let A be 2 x 3, and B be 3 x 2 matrices. If ABA = A, then BA = 1.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 10E: Find two nonzero matrices A and B such that AB=BA.
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Question 3
(True/False: if it is true, prove it; if it is false, give one
counterexample). Let A be 2 x 3, and B be 3 x 2 matrices. If ABA = A, then BA = I.
Transcribed Image Text:Question 3 (True/False: if it is true, prove it; if it is false, give one counterexample). Let A be 2 x 3, and B be 3 x 2 matrices. If ABA = A, then BA = I.
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