Să se determine matricea [tex]X[/tex] dacă verifică pe rând egalitățile:

a) [tex]\left([tex]\begin{array}{rr}-1 & 0 \\ 2 & 3\end{array}\right)-5 X+2\left(\begin{array}{rr}1 & -3 \\ 5 & 4\end{array}\right)=\left(\begin{array}{rr}-1 & 0 \\ 0 & -1\end{array}\right), X \in \mathcal{M}_{2}(\mathbb{R})[/tex]

b) [tex]3 X+\left(\begin{array}{rr}2 & -3 \\ -1 & 2 \\ 2 & -3\end{array}\right)=2\left(\begin{array}{rr}1 & 3 \\ 7 & 4 \\ -2 & 6\end{array}\right)+\left(\begin{array}{rr}-3 & 6 \\ -9 & 3 \\ 3 & 0\end{array}\right), X \in \mathcal{M}_{3,2}(\mathbb{R})[/tex]

c) [tex]i\left(\begin{array}{rrr}1 & -i & i \\ i & 0 & 1\end{array}\right)+5 X=2 i\left(\begin{array}{rrr}i & 0 & 1 \\ -1 & -2 & i\end{array}\right), X \in \mathcal{M}_{2,3}(\mathbb{C})[/tex].[/tex]