Question

Olhem a foto e me ajudem por favor : )

Answer 1

Resposta:

Explicação passo a passo:

Resolva o sistema:

2X+Y = A-B (I)

-3X-2Y= -2A+B (II)

Para isso faça 2.(I)+(II):

4X-3X+2Y-2Y=2A+(-2A)-2B+B

X= -B

$\displaystyle X=(-1).\left[\begin{array}{ccc}-2&6\\-1&7\end{array}\right]\\\\X=\left[\begin{array}{ccc}2&-6\\1&-7\end{array}\right]$

Substituindo X = -B em (I)

2(-B)+Y = A-B

-2B+Y = A-B

Y = A-B+2B

Y = A + B

$\displaystyle Y=\left[\begin{array}{ccc}2&-3\\0&5\end{array}\right] + \left[\begin{array}{ccc}-2&6\\-1&7\end{array}\right]\\\\\\Y=\left[\begin{array}{ccc}2-2&-3+6\\0-1&5+7\end{array}\right] \\\\\\Y=\left[\begin{array}{ccc}0&3\\-1&12\end{array}\right]$