Question

If AB = I and B = A^T, then _______.

Options

• A^-1 = A

• A^-1 = A^T

• A^-1 = A²

• A = A^T

Answer 1

If AB = I and B = A^T, then A^-1 = A^T.

Explanation:

Given AB = I

But A A^-1 = I

∴ B = A^-1

Given B = A^T

∴ A^T = A^-1