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Byju's Answer
Standard XII
Mathematics
Scalar Multiplication of a Matrix
If A = [1 2...
Question
If
A
=
[
1
2
3
]
and
B
=
⎡
⎢
⎣
1
2
3
⎤
⎥
⎦
, then find
(
A
B
)
′
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Solution
A
=
[
1
2
3
]
B
=
⎡
⎢
⎣
1
2
3
⎤
⎥
⎦
A
B
=
[
1
×
1
+
2
×
2
+
3
×
3
]
A
B
=
[
14
]
∴
(
A
B
)
′
=
[
14
]
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0
Similar questions
Q.
If
A
=
1
2
3
-
1
and
B
=
1
0
-
1
0
, find |AB|.
Q.
Let
A
=
⎡
⎢
⎣
−
1
2
3
⎤
⎥
⎦
and
B
=
[
−
2
−
1
−
4
]
If trace of matrix
A
B
is
−
12
, then the value of
k
Q.
If
A
=
⎡
⎢
⎣
1
2
3
⎤
⎥
⎦
then find
A
A
T
.
Q.
If
A
=
1
2
3
-
1
and
B
=
1
-
4
3
-
2
,
find
|
A
B
|
.
Q.
Let
A
=
⎡
⎢
⎣
−
1
2
3
⎤
⎥
⎦
and
B
=
[
−
2
−
1
−
4
]
Let
K
=
1
in matrix
A
then
(
A
B
)
′
equals to
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Scalar Multiplication of a Matrix
Standard XII Mathematics
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