Question

a=[1 3] e b = [4 -1 ]
[0 -2] [1 2 ]
Determine ab e ba

Answer 1

Oiiii

São matrizes quadradas do tipo 2x2

$A = \begin{bmatrix} 1& 3\\ 0& -2 \end{bmatrix} e....B = \begin{bmatrix} 4 &-1 \\ 1& 2 \end{bmatrix}$

sendo AB

$AB = \begin{bmatrix} 1.4+3.1 & 1.(-1)+3.2\\ 0.4+(-2).1 & 0.(-1)+(-2).2 \end{bmatrix} = A = \begin{bmatrix} 7 & 5\\ -2 &-4 \end{bmatrix}$

SEndo BA

$BA = \begin{bmatrix} 4.1+(-1).0 &4.3+(-1).(-2) \\ 1.1+2.0& 1.3+2.(-2) \end{bmatrix} = \begin{bmatrix} 4& 14\\ 1& -1 \end{bmatrix}$