Question

If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find A²

Answer 1

A² = `[(0, 2),(5, -2)][(0, 2),(5, -2)]`

= `[(0 xx 0 + 2 xx 5, 0 xx 2 + 2 xx -2),(5 xx 0 + (-2) xx 5, 5 xx 2 + (-2) xx (-2))]`

= `[(0 + 10, 0 - 4), (0 - 10, 10+ 4)]`

= `[(10, -4),(-10, 14)]`