- c.
- a.(–2D)(3D) = –6DD = =
- d.Note that the dimensions of the matrix F are 21. The product FF is not defined because the inner
dimensions do not match. - b. 1 E++
- a.
(BG)H ..
.
- c.
...
.
(Note that a real number is indeed a matrix with dimensions 11.- b.
...
.
2
2
1
9
8
3
36 164
–
–
$ ––=
R
T
S
S
S
S
9
V
X
W
W
W
W
= 9 ––– 12 10 8 CCC
0
1
1
– 4
N
P
O
O
OO
> H
1
0
1
2
2
1
–
––
J
L
K
K
KK
R
T
S
S
SS
V
X
W
W
WW
3
0
1
2
1
1
1
2
–– 0
N
P
O
O
OO
R
T
S
S
SS
V
X
W
W
()()ED AC = –– 420 $ WW
J
L
K
K
KK^9 C
7
1
2
2
– – 66
–
=
R
T
S
S
S
S
S
V
X
W
W
W
W
W
= 9 10 8 2 – 4 C
2
2
1
N
P
O
O
O
O
O
R
T
S
S
SS
V
X
W
W
WW
3
1
0
2
1
2
0
1
1
1
2
– 0
–
–
–
J
L
K
K
K
K
K
R
T
S
S
S
S
S
V
X
W
W
W
W
W
2
1
1
1
2
1
0
1
2
1
0
1
–
–
–
–
–
–
––
N
P
O
O
OO
R
T
S
S
SS
V
X
W
W
WW
()()EG HI = –– 420
J
L
K
K
KK
9 C
3
52
7
18
3
8
–
–
=> ––H
3
1
0
2
1
2
0
1
1
1
2
– 0
–
–
–
R
T
S
S
S
S
S
V
X
W
W
W
W
W
1
11
4
13
4
5
2
3
–
=>–––H
3
1
0
2
1
2
0
1
1
1
2
– 0
–
–
–
R
T
S
S
S
S
SS
V
X
W
W
W
W
WW
2
1
1
1
2
1
0
1
2
1
0
1
–
–
–
–
–
–
––
N
P
O
O
OO
R
T
S
S
SS
V
X
W
W
WW
1
3
2
5
1
0
= ––
J
L
K
K
KK
> H
3
0
1
2
1
1
1
2
0
5
8
5
2
3
3
1
2
–– 0
–
–
–
–
–
–
=
R
T
S
S
S
S
R
T
S
S
S
S
V
X
W
W
W
W
V
X
W
W
W
W
3
0
1
2
1
1
1
2
0
8
8
4
4
4
2
0
0
–– 0
–
–
–
–
–
–
=+
R
T
S
S
SS
R
T
S
S
SS
V
X
W
W
WW
V
X
W
W
D WW
2
2
1
= –4– 20
R
T
S
S
SS
9
V
X
W
W
WW
C
6
8
2
3
7
1
3
7
2
3
48
12
18
42
6
18
42
12
18
–
–
–
––
–––
–=–
R
T
S
S
S
S
R
T
S
S
S
S
V
X
W
W
W
W
V
X
W
W
W
W
6
3
0
1
2
1
1
1
2
0
3
0
1
2
1
1
1
2
–– –– 0
–
R
T
S
S
S
S
R
T
S
S
S
S
V
X
W
W
W
W
V
X
W
W
W
W
44 BA 4 >>–^0316 –^1 HH= – 120 64 –^4
1
3
2
5
1
0
1
0
1
2
2
1
–––
––
==
R
T
S
S
SS
>
V
X
W
W
WW
H
ANSWERS & EXPLANATIONS–