Answer
a. $\left[\begin{array}{ll}
6 & 4\\
5 & 5
\end{array}\right]$
b. $\left[\begin{array}{ll}
-10 & 2\\
-5 & -3
\end{array}\right]$
c. $\left[\begin{array}{ll}
8 & -12\\
0 & -4
\end{array}\right]$
d. $\left[\begin{array}{ll}
10 & 11\\
10 & 11
\end{array}\right]$
Work Step by Step
a.
$A+B=\left[\begin{array}{ll}
-2+8 & 3+1\\
0+5 & 1+4
\end{array}\right]=\left[\begin{array}{ll}
6 & 4\\
5 & 5
\end{array}\right]$
b.
$A-B=\left[\begin{array}{ll}
-2-8 & 3-1\\
0-5 & 1-4
\end{array}\right]=\left[\begin{array}{ll}
-10 & 2\\
-5 & -3
\end{array}\right]$
c.
$-4A=\left[\begin{array}{ll}
-4(-2) & -4(3)\\
-4(0) & -4(1)
\end{array}\right]=\left[\begin{array}{ll}
8 & -12\\
0 & -4
\end{array}\right]$
d.
$3A+2B=\left[\begin{array}{ll}
3(-2)+2(8) & 3(3)+2(1)\\
3(0)+2(5) & 3(1)+2(4)
\end{array}\right]=\left[\begin{array}{ll}
10 & 11\\
10 & 11
\end{array}\right]$
