Question

Choose the correct answer from the given four options :

If A = `[(3, 1),(-1, 2)]`, then A² = 

Options

• `[(8, 5),(-5, 3)]`

• `[(8, -5),(5, 3)]`

• `[(8, -5),(-5, -3)]`

• `[(8, -5),(-5, 3)]`

Answer 1

A = `[(3, 1),(-1, 2)]`

A² = A x A = `[(3, 1),(-1, 2)][(3, 1),(-1, 2)]`

= `[(9 + (-1), 3 + 2),(-3 - 2, -1 + 4)]`

= `[(8, 5),(-5, 3)]`.