1.
Find the dimensions of
A
6 × 3
·
B
3 × 1
.
A.
6 × 3
B.
6 × 1
C.
3 × 3
D.
3 × 1
Hint
2.
A.
B.
[10 37]
C.
D.
Hint
3.
State whether the product of
A
3 × 4
and
B
3 × 4
is defined, and if it is defined, state the dimensions.
A.
defined, 4 × 3
B.
undefined
C.
defined, 9 × 16
D.
defined, 3 × 4
Hint
4.
Find the product of
A.
B.
C.
D.
Hint
5.
Which of the following is true concerning matrix multiplication of three matrices
A
,
B
, and
C
?
A.
(
A
+
B
)
C
=
CA
+
CB
B.
AB
=
BA
for no cases
C.
C
(
A
+
B
) =
CA
+
CB
D.
AB
=
BA
for all cases
Hint