Question

If A is a square matrix satisfying A² = I ,then what is the inverse of A ?
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$A^{-1} = A$

Step-by-step explanation:

The inverse of A is the matrix B such that AB = I.

Since A² = I, this holds for B = A, as then AB = A² = I.

So the inverse of A is A itself!

In other words, A is its own inverse.