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NIMCET 2009 Question Paper with solutions
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© examsnet.com
Question : 24
Total: 120
If
A
is a
3
×
3
matrix with
d
e
t
(
A
)
=
3
, then det
(
a
d
j
A
)
is
3
9
27
6
Validate
Solution:
As,
A
adj
A
]
=
|
A
|
I
⇒
|
A
a
d
j
(
A
)
|
=
|
A
|
I
|
⇒
|
A
|
|
a
d
j
(
A
)
|
=
|
A
|
n
⇒
∣
a
d
j
(
A
|
|
=
|
A
|
n
−
1
where
n
is the order of
A
,
⇒
∣
adj
(
A
)
∣
=
3
2
=
9
[
∵
|
A
|
=
3
(given)]
© examsnet.com
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