Let A, B, C be square matrices. If AB = CA and A is non-singular, does this imply that a) B=C, b) BA¹ = A¹C, c) ABA is non-singular.
Let A, B, C be square matrices. If AB = CA and A is non-singular, does this imply that a) B=C, b) BA¹ = A¹C, c) ABA is non-singular.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 9E
Question
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Transcribed Image Text:Let A, B, C be square matrices. If AB = CA and A is non-singular, does this imply that
a) B=C,
b) BA¹ = A¹C,
c) ABA is non-singular.
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