Answer:
X = [tex]\begin{bmatrix}5 &-1 \\ -5 &4 \\2& -9\end{bmatrix}[/tex]
Step-by-step explanation:
given,
A + X = Q
X = A - Q
A = [tex]\begin{bmatrix}3 &2 \\ -1 &5 \\3& -4\end{bmatrix}[/tex]
Q = [tex]\begin{bmatrix}-2 &3\\ 4 &1 \\ 1&-5\end{bmatrix}[/tex]
now
X = [tex]\begin{bmatrix}3 &2 \\ -1 &5 \\3& -4\end{bmatrix}-\begin{bmatrix}-2 &3\\ 4 &1 \\ 1&-5\end{bmatrix}[/tex]
X = [tex]\begin{bmatrix}3-(-2) &2-3 \\ -1-4 &5-1 \\3-1& -4-5\end{bmatrix}[/tex]
X = [tex]\begin{bmatrix}5 &-1 \\ -5 &4 \\2& -9\end{bmatrix}[/tex]
hence, the required matrix is given above
