Answer
a. $\left[\begin{array}{l}
-3\\
-1\\
0
\end{array}\right]$ b. $\left[\begin{array}{l}
7\\
-7\\
2
\end{array}\right]$ c. $\left[\begin{array}{l}
-8\\
16\\
-4
\end{array}\right]$ d. $\left[\begin{array}{l}
-4\\
-6\\
1
\end{array}\right]$
Work Step by Step
a.
$A+B=[a_{ij}+b_{ij}]$
$A+B=\left[\begin{array}{l}
2+(-5)\\
-4+3\\
1+(-1)
\end{array}\right]=\left[\begin{array}{l}
-3\\
-1\\
0
\end{array}\right]$
b.
$A-B=[a_{ij}-b_{ij}]$
$=\left[\begin{array}{l}
2-(-5)\\
-4-3\\
1-(-1)
\end{array}\right]$=$\left[\begin{array}{l}
7\\
-7\\
2
\end{array}\right]$
c.
$-4A=\left[-4a_{ij}\right]$
$-4A=\left[\begin{array}{l}
-8\\
16\\
-4
\end{array}\right]$
d.
$3A+2B=\left[3a_{ij}+2b_{ij}\right]$
$=\left[\begin{array}{l}
3(2)+2(-5)\\
3(-4)+2(3)\\
3(1)+2(-1)
\end{array}\right]= \left[\begin{array}{l}
-4\\
-6\\
1
\end{array}\right]$
