Question

How do you find `P^2` given `P=((3, 1), (1, 3))`?

Answer 1

`P^2=((10, 6), (6, 10))`

Explanation:

`P^2` means multiply the matrix by itself, following the usual method for multiplying matrices.

`P^2 =((3, 1), (1, 3))((3, 1), (1, 3))`

`= ((3xx3+1xx1, 3xx1+1xx3), (1xx3+3xx1, 1xx1+3xx3))`

`=((10, 6), (6, 10))`