Question

(A³)^–1 = (A^–1)³, where A is a square matrix and |A| ≠ 0.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

Since (AK)^–1 = (A^–1)K where K ∈ N

So, (A³)^–1 = (A^–1)³