Question

If is an invertible matrix then prove that −1 = −1

Answer 1

Step-by-step explanation:

Definition A square matrix A is invertible (or nonsingular) if ∃ matrix

B such that AB = I and BA = I. (We say B is an inverse of A.)

Remark Not all square matrices are invertible.

Theorem. If A is invertible, then its inverse is unique.

Remark When A is invertible, we denote its inverse as A−1

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