1.
Find the dimensions of
A
6 × 3
·
B
3 × 1
.
A.
3 × 3
B.
6 × 3
C.
6 × 1
D.
3 × 1
Hint
2.
Find
A.
B.
C.
D.
Hint
3.
If
and
find 4
A
– 5
B
.
A.
B.
C.
D.
Hint
4.
State whether the product of
A
3 × 4
and
B
3 × 4
is defined, and if it is defined, state the dimensions.
A.
undefined
B.
defined, 4 × 3
C.
defined, 3 × 4
D.
defined, 9 × 16
Hint
5.
Which of the following is true concerning matrix multiplication of three matrices
A
,
B
, and
C
?
A.
C
(
A
+
B
) =
CA
+
CB
B.
(
A
+
B
)
C
=
CA
+
CB
C.
AB
=
BA
for all cases
D.
AB
=
BA
for no cases
Hint