Diketahui matriks PHasil dari perkalian matriksP Q adalah

Diketahui matriks PHasil dari perkalian matriksP Q adalah

$left[begin{array}{ccc}2&-1\0&3\-3&1end{array}right] times left[begin{array}{ccc}1&-1&0\-1&2&3end{array}right]$

$= left[begin{array}{ccc}(2 times 1) + (-1 times (-1))&(2 times (-1)) + (-1 times 2)&(2 times 0) + (-1 times 3)\(0 times 1) + (3 times (-1))&(0 times (-1)) + (3 times 2)&(0 times 0) + (3 times 3)\(-3 times 1) + (1 times (-1))&(-3 times (-1)) + (1 times 2)&(-3 times 0) + (1 times 3)end{array}right]$

$= left[begin{array}{ccc}2 + 1&-2 - 2&0 - 3\0 - 3&0 + 6&0 + 9\-3 - 1&3 + 2&0 + 3end{array}right]$

$= boxed{ boxed{left[begin{array}{ccc}3&-4&-3\-3&6&9\-4&5&3end{array}right]}}$