Question

Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| is equal to ______.

Options

• |A|

• |A|²

• |A|³

• 3|A|

Answer 1

Let A be a nonsingular square matrix of order 3 × 3. Then |adj A| is equal to |A|².

Explanation:

Offended, we know that |adj A| = |A|ⁿ⁻¹ where n = 3

∴ |adj A| = |A|²