Question

Compute the indicated product.

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

Answer 1

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

= `[(1 xx 1 + (-2)xx2, 1 xx 2(-2) xx 3, 1 xx 3(-2) xx 1), (2 xx 1 + 3 xx 2, 2 xx 2 + 3 xx 3, 2 xx 3 + 3 xx 1)]`

= `[(1 - 4, 2 - 6, 3 - 2),(2 + 6, 4 + 9, 6 + 3)]`

= `[(-3, -4, 1),(8, 13, 9)]`