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UPSC NDA Math Model Paper 10
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© examsnet.com
Question : 45
Total: 120
If
A
is a square matrix of order 5 and det
A
=
1
∕
9
, then what is det
|
(
3
A
)
−
1
|
equal to?
1/81
1/27
1/9
1/125
Validate
Solution:
Here, det A = 1/9
det
|
(
3
A
)
−
1
|
=
(
3
−
1
)
5
det
(
A
−
1
)
.
.
.
.
.
(
∵
Order
=
5
)
=
1
3
5
×
1
∕
det
A
=
1
3
5
×
9
=
1
∕
3
3
= 1/27
Hence, option (2) is correct.
© examsnet.com
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