👤

Să se determine matricele [tex]X, Y[/tex] în fiecare din cazurile:

a) [tex]\left\{[tex]\begin{array}{l}X-3 Y=\left(\begin{array}{rr}1 & 5 \\ 3 & -2\end{array}\right) \\ X+2 Y=\left(\begin{array}{rr}6 & 0 \\ -2 & 3\end{array}\right)\end{array}, X, Y \in \mathcal{M}_{2}(\mathbb{R}) ;\right.[/tex] b) [tex]\left\{\begin{array}{l}2 X+3 Y=\left(\begin{array}{rrr}8 & 7 & -2 \\ 1 & -6 & 5\end{array}\right), X, Y \in \mathcal{M}_{2,3}(\mathbb{R}) . \\ X-2 Y=\left(\begin{array}{rrr}-3 & 0 & -1 \\ -3 & 4 & -1\end{array}\right)\end{array}\right.[/tex].[/tex]