Prove that if A, B M n (C) are invertible, then AB and BA are invertible

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Prove that if A, B ∈ M_n(C) are invertible, then AB and BA are invertible also.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:50 AM

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Prove that if A, B M n (C) are invertible, then AB and BA are invertible

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Given that A 1 and B 1 exist the associative pro...View the full answer

A First Course In Abstract Algebra

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