Question

if A&B are invertible matrices then prove that (AB)^-1=B^-1A^-1​

Answer 1

Answer:

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Answer 2

Answer:

Now AB = BA = I since B is the inverse of matrix A. ... This proves B = C, or B and C are the same matrices. Theorem 2: If A and B are matrices of the same order and are invertible, then (AB)-1 = B-1 A-1.