Question

If a square matrix has an inverse then show that it is unique​

Answer 1

That the inverse matrix of A is unique means that there is only one inverse matrix of A. (That's why we say “the” inverse matrix of A and denote it by A−1.) So to prove the uniqueness, suppose that you have two inverse matrices B and C and show that in fact B=C.

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Answer 2

Answer:

same as above answer .........