Question

determine os valores de x e y na equeção matricial :

(2   X)   +   (-4    -4)   =   2 (-1   2)

(Y   3)        (-7      5)            (-3   4)

Answer 1

$\left[\begin{array}{ccc}2&x\\y&3\end{array}\right] + \left[\begin{array}{ccc}-4&-4\\-7&5\end{array}\right] =2. \left[\begin{array}{ccc}-1&2\\-3&4\end{array}\right] \\ \\ \\ \left[\begin{array}{ccc}2&x\\y&3\end{array}\right] + \left[\begin{array}{ccc}-4&-4\\-7&5\end{array}\right] = \left[\begin{array}{ccc}-2&4\\-6&8\end{array}\right] \\ \\ \\ \left[\begin{array}{ccc}2-4&x-4\\y-7&3+5\end{array}\right] = \left[\begin{array}{ccc}-2&4\\-6&8\end{array}\right]$

$\left[\begin{array}{cc}-2&x-4\\y-7&8\end{array}\right] = \left[\begin{array}{cc}-2&4\\-6&8\end{array}\right] \\ \\ Logo \ \\ x-4=0 \\ x=4 \\ \\ y-7=-6 \\ y=-6+7 \\ y=1$