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Byju's Answer
Standard XI
Mathematics
Transpose of a Matrix
If A = [ 1; 2...
Question
If
A
=
⎡
⎢
⎣
1
2
3
⎤
⎥
⎦
then AA' =
A
14
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B
⎡
⎢
⎣
1
3
3
⎤
⎥
⎦
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C
⎡
⎢
⎣
1
2
3
2
4
6
3
6
9
⎤
⎥
⎦
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D
N
o
n
e
o
f
t
h
e
s
e
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Solution
The correct option is
C
⎡
⎢
⎣
1
2
3
2
4
6
3
6
9
⎤
⎥
⎦
A' = [1 2 3] therefore AA' =
=
⎡
⎢
⎣
1
2
3
⎤
⎥
⎦
[
1
2
3
]
=
⎡
⎢
⎣
1
2
3
2
4
6
3
6
9
⎤
⎥
⎦
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0
Similar questions
Q.
If
A
=
⎡
⎢
⎣
1
2
3
⎤
⎥
⎦
then find
A
A
T
.
Q.
If
A
=
[
1
2
3
]
and
B
=
⎡
⎢
⎣
1
2
3
⎤
⎥
⎦
, then find
(
A
B
)
′
Q.
State true/false:
If
A
=
⎡
⎢
⎣
−
1
2
3
⎤
⎥
⎦
and
B
=
[
−
2
−
1
−
4
]
,
then
(
A
B
)
t
≠
B
t
A
t
.
Q.
Let
A
=
⎡
⎢
⎣
−
1
2
3
⎤
⎥
⎦
and
B
=
[
−
2
−
1
−
4
]
,
then matrix
(
A
B
)
A
equals
Q.
If
A
=
⎡
⎢
⎣
−
1
2
3
⎤
⎥
⎦
,
B
=
[
−
2
,
−
1
,
−
4
]
verify that
(
A
B
)
T
=
B
T
A
T
.
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Standard XI Mathematics
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