Show that if A and B are invertible matrices and AB

Chapter 2, Problem 40E

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QUESTION:

Show that if A and B are invertible matrices and AB exists, then (AB)?1 = B?1A?1.

Questions & Answers

QUESTION:

Show that if A and B are invertible matrices and AB exists, then (AB)?1 = B?1A?1.

ANSWER:

SOLUTIONStep 1We need to show that ,where A and B are invertible matrices.

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