Question

se M = [ x y, 2 -1] e N = [ 3 -2, 1 3], determine M.N - N.M

Answer 1

M = $\left[\begin{array}{ccc}x&y\\2&-1\end{array}\right]$

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

M * N = $\left[\begin{array}{ccc}3(x) + y&(-2)x + 3(y)\\ 2(3) + (-1)(1)& 2(-2) + (-1)3\end{array}\right]$

M * N =  $\left[\begin{array}{ccc}3x + y&-2x + 3y\\ 5&-7\end{array}\right]$

Resultado do N * M  $\left[\begin{array}{ccc}3x + 2&3y -1\\ -2x + 6&-2y - 3\end{array}\right]$

M * N - N * M =  $\left[\begin{array}{ccc}y - 2&-2x + 1\\ 2x - 1&2y - 4\end{array}\right]$