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Byju's Answer
Standard XII
Mathematics
Periodic Matrix
If A is uni m...
Question
If A is uni modular square matrix, then which of the following is not necessarily unimodular.
A
A
−
1
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B
adjA
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C
-A
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D
All the above
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Solution
The correct option is
C
-A
|
−
A
|
=
(
−
1
)
n
|
A
|
=
{
−
1
i
f
′
n
′
i
s
o
d
d
1
i
f
′
n
′
i
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v
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n
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Similar questions
Q.
If A, B, C are nonsingular square matrices of order
3
×
3
then which of the following is not necessarily true?
Q.
Let
A
,
B
,
C
,
D
be (not necessarily square) real matrices such that
A
T
=
B
C
D
;
B
T
=
C
D
A
;
C
T
=
D
A
B
and
D
T
=
A
B
C
for the matrix
S
=
A
B
C
D
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Q.
Let
A
be square matrix. Then which of the following is not a symmetric matrix.
Q.
If
A
is a
2
×
2
matrix and
A
2
=
I
where
A
≠
I
,
A
≠
−
I
then which of the following is necessarily true?
Q.
Let P,Q,R,S be (not necessarily square) real matrices such that
P
T
=
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Q
T
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RSP
;
R
T
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If the matrix A = PQRS, then
A
3
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?
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