Suppose that a is nonsingular. prove that its inverse a-1 is unique. [hint: show that if there exists two matrices, b and c, such that ba = i and ac −=i, then necessarily b =c.]

Answer with Step-by-step explanation:

Let A is non-singular

We have to prove that is unique.

Suppose B and C are inverse of A such that

and AC=I

By using property

Hence, the inverse of A is unique.

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step-by-step explanation:

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step-by-step explanation:

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