Answer: [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]
Step-by-step explanation:
Given: [tex]X=\begin{pmatrix}3&-5\\ -4&2\end{pmatrix},\ \ Y=\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]
To calculate: [tex]X+Y[/tex]
Consider [tex]X+Y= \begin{pmatrix}3&-5\\ -4&2\end{pmatrix}+\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]
[tex]=\begin{pmatrix}3+6&\left(-5\right)+7\\ \left(-4\right)+\left(-4\right)&2+\left(-3\right)\end{pmatrix}\\\\=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex][[tex]\mathrm{Add\:the\:corresponding\: elements\: and\: simplify}[/tex]]
Hence, [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]
