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Byju's Answer
Standard XI
Mathematics
Inverse of a Matrix
If A is squar...
Question
If
A
is
square
matrix
of
order
n
,
then
|
adj
(
A
)
|
=
A
∣
∣
A
∣
∣
n
−
1
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B
|
A
|
n
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C
∣
∣
A
∣
∣
n
−
2
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D
(
A
|
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Solution
The correct option is
A
∣
∣
A
∣
∣
n
−
1
A
−
1
.
∣
∣
A
∣
∣
=
adj
(
A
)
∣
∣
adj
(
A
)
∣
∣
=
(
A
−
1
.
∣
∣
A
∣
∣
∣
∣
=
∣
∣
A
∣
∣
n
∣
∣
A
−
1
∣
∣
=
|
A
|
n
|
A
|
=
∣
∣
A
∣
∣
n
−
1
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