How do you find $P^{2}$ $P^2$ given $P=((3, 1), (1, 3))$ ?

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Answer 1 · 2016-06-25T07:43:00

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

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

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

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

$=((10, 6), (6, 10))$

How do you find P^2P2P^2 given P=((3, 1), (1, 3))P=((3, 1), (1, 3))?