Ecuaciones Matriciales

Halla la matriz $X$ que verifique la siguiente ecuación:

$2X + \left( \begin{array}{cc} 1 & 5 \\-3 & 2 \end{array} \right)^2 =$
$\left( \begin{array}{cc} -1 & 4 \\4 & 1 \end{array} \right)$

SOLUCIÓN

$2X = \left( \begin{array}{cc} -1 & 4 \\4 & 1 \end{array} \right) - \left( \begin{array}{cc} 1 & 5 \\-3 & 2 \end{array} \right)^2$

$2X = \left( \begin{array}{cc} -1 & 4 \\4 & 1 \end{array} \right) - \left( \begin{array}{cc} -14 & 15 \\-9 & -11 \end{array} \right)$

$2X = \left( \begin{array}{cc} 13 & -11 \\13 & 12 \end{array} \right)$

$X = \left( \begin{array}{cc} \frac{13}{2} & \frac{-11}{2} \\ \frac{13}{2} & 6 \end{array} \right)$