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Byju's Answer
Standard XII
Mathematics
Adjoint of a Matrix
If A is a s...
Question
If
A
is a square matrix and
|
A
|
=
2
find the value of
∣
∣
A
A
T
∣
∣
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Solution
Given
A
is a square matrix with
|
A
|
=
2
|
A
A
T
|
=
|
A
|
2
=
2
2
=
4
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Similar questions
Q.
If A is a square matrix such that |A| = 2, write the value of |A A
T
|.
Q.
If A is a real square matrix , then
A
A
T
is
Q.
For square matrix
A
,
A
A
T
is-
Q.
If
A
is a square matrix, then which of the following is correct ?
(
a
)
A
A
T
is symmetric matrix and
A
T
A
is skew-symmetric matrix.
(
b
)
A
A
T
is skew-symmetric matrix and
A
T
A
is symmetric matrix.
(
c
)
Both
A
A
T
and
A
T
A
are symmetric matrices.
(
d
)
Both
A
A
T
and
A
T
A
are skew-symmetric matrices.
Q.
If A is a square matrix of order
3
such that
A
A
T
=
I
and
|
A
|
=
1
, then
|
A
−
I
|
=
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