Question

If A is a matrix of order 3 × 3, then (A²)^–1 = ______.

Answer 1

If A is a matrix of order 3 × 3, then (A²)^–1 = (A^–1)².

Explanation:

(A²)^–1 =`(A" * "A")^-1`

= `"A"^-1 * "A"^-1`   .....(As (AB)^–1 = B^–1A^–1)

= (A^–1)²