Question

Choose the correct alternative.

If a 3 x 3 matrix B has it inverse equal to B, thenB² = _______

Options

• `[(0, 1, 1),(0, 1, 0),(1, 0, 1)]`

• `[(1, 1, 1),(1, 1, 1),(1, 0, 1)]`

• `[(1, 0, 1),(0, 1, 0),(0, 0, 0)]`

• `[(1, 0, 0),(0, 1, 0),(0, 0, 1)]`

Answer 1

B^–1 = B
∴ B^–1B = B.B
∴ B² = I = `[(1, 0, 0),(0, 1, 0),(0, 0, 1)]`.