Question

X= [3 -5] Y= [6 7]
[-4 2]. [-4 -3] calculate X+Y

Answer 1

Answer:
`X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}`

Explanation:

Given:
`X=\begin{pmatrix}3&-5\\ -4&2\end{pmatrix},\ \ Y=\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}`

To calculate:
`X+Y`

Consider
`X+Y= \begin{pmatrix}3&-5\\ -4&2\end{pmatrix}+\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}`

`=\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}`[
`\mathrm{Add\:the\:corresponding\: elements\: and\: simplify}`]

Hence,
`X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}`