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Byju's Answer
Standard XII
Mathematics
Matrix Definition and Representation
If A=[ 2 ...
Question
If
A
=
[
2
−
1
2
1
3
−
4
]
and
B
=
⎡
⎢
⎣
1
−
2
−
3
0
5
4
⎤
⎥
⎦
then verify that
(
A
B
)
′
=
B
′
A
′
Open in App
Solution
A
B
=
[
2
−
1
2
1
3
−
4
]
⎡
⎢
⎣
1
−
2
−
3
0
5
4
⎤
⎥
⎦
=
[
15
4
−
28
−
18
]
B
′
=
[
1
−
3
5
−
2
0
4
]
A
′
=
⎡
⎢
⎣
2
1
−
1
3
2
−
4
⎤
⎥
⎦
B
′
A
′
=
[
1
−
3
5
−
2
0
4
]
⎡
⎢
⎣
2
1
−
1
3
2
−
4
⎤
⎥
⎦
=
[
15
4
−
28
−
18
]
Hence proved
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0
Similar questions
Q.
If
A
=
⎡
⎢
⎣
2
−
4
1
⎤
⎥
⎦
,
B
=
[
5
3
−
1
]
then verify that
(
A
B
)
′
=
B
′
A
′
Q.
If
A
=
⎡
⎢
⎣
−
2
4
5
⎤
⎥
⎦
and
B
=
[
1
3
−
6
]
verify that
(
A
B
)
′
=
B
′
A
′
.
Q.
If
A
=
⎡
⎢
⎣
−
2
4
5
⎤
⎥
⎦
,
B
=
[
1
3
−
6
]
, verify that
(
A
B
)
′
=
B
′
A
′
.
Q.
For the matrices A and B, verify that (AB)' =B'A', where
A
=
⎡
⎢
⎣
1
−
4
3
⎤
⎥
⎦
,
B
=
[
−
1
2
1
]
Q.
If
A
=
[
4
3
1
2
]
B
=
[
2
1
1
2
]
Verify
(
A
B
)
′
=
B
′
A
′
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