Question

 If A = `[(3, 1),(-1, 2)], B = [(1, 0),(0, 2)]`, find A².

Answer 1

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

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

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

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

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