Question

If A = `[(2, -3), (3, 5)]`, then |Adj A| is equal to ______ 

Options

• 6

• 11

• 16

• 19

Answer 1

If A = `[(2, -3), (3, 5)]`, then |Adj A| is equal to 19. 

Explanation:

|A| = `[(2, -3), (3, 5)]` = 10 + 9 = 19

|adj A| = |A|^{n - 1}

where n is the order of matrix.

∴ |adj A| = |A| = 19