Question

determine as matrizes X e Y, tais que


urgente alguém pode responder​

Answer 1

Vamos precisar resolver um sistema para cada número das matrizes:

$\left \{ {{x_{11}+y_{11}=0 \atop {x_{11}-y_{11}=2} \right$

$2x_{11}=2$

$x_{11}=1$

$1+y_{11}=0$

$y_{11}=-1$

$\left \{ {{x_{12}+y_{12}=-6} \atop {x_{12}-y_{12}=8}} \right.$

$2x_{12}=2$

$x_{12}=1$

$1+y_{12}=-6$

$y_{12}=-7$

$\left \{ {{x_{21}+y_{21}=-2 \atop {x_{21}-y_{21}=-10} \right$

$2x_{21}=-12$

$x_{21}=-6$

$-6+y_{21}=-2$

$y_{21}=-2+6$

$y_{21}=4$

$\left \{ {{x_{22}+y_{22}=10 \atop {x_{22}-y_{22}=-2} \right$

$2x_{22}=8$

$x_{22}=4$

$4+y_{22}=10$

$y_{22}=10-4$

$y_{22}=6$

Agora montemos as matrizes:

X=$\left[\begin{array}{cc}1&1\\-6&4\end{array}\right]$

Y=$\left[\begin{array}{cc}-1&-7\\4&6\end{array}\right]$