Answer
a. [ $10\ \ 0 \ \ 0$ ]
b. [ $2 \ \ 4 \ \ -6$ ]
c. [ $-24 \ \ -8\ \ $ $12$ ]
d. [ $26\ \ 2\ \ -3$ ]
Work Step by Step
a.
$A+B=[a_{ij}+b_{ij}]$
= [ $6+4 2+(-2) -3+3$]=[ 10 0 0 ]
b.
$A-B=[a_{ij}-b_{ij}]$
= [ $6-4 2-(-2) -3-3$]
=[ $2\ \ 4\ \ -6$ ]
c.
$-4A=\left[-4a_{ij}\right]$
=[ $-24\ \ -8 \ \ 12$ ]
d.
$3A+2B=\left[3a_{ij}+2b_{ij}\right]$
=[ $3(6)+2(4)\ \ 3(2)+2(-2)\ \ 3(-3)+2(3)$ ]
=[ $26\ \ 2\ \ -3$ ]
