Question

If `A = [(1, 4),(1, -3)]` and `B = [(1, 2),(-1, -1)]` Find `A^2 + B^2`

Answer 1

`A^2 = [(1, 4), (1, -3)][(1, 4), (1, -3)]`

`= [(1 + 4, 4 - 12),(1 - 3, 4 + 9)]`

`= [(5, -8),(-2, 13)]`

`B^2 = [(1, 2),(-1, -1)][(1,2),(-1, -1)]`

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

`[(-1, 0),(0, -1)]`

`A^2 + B^2 = [(5, -8),(-2, 13)] +  [(-1, 0),(0, -1)]`

`= [(4, -8),(-2, 12)]`