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Byju's Answer
Standard XII
Mathematics
Multiplication of Matrices
If A is a non...
Question
If A is a non-singular matrix of order 3, then adj (adj A) is equal to ________________.
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Solution
Given:
A is a non-singular matrix of order 3
As we know,
adj
adj
A
=
A
n
-
2
A
,
where
n
is
the
order
of
A
⇒
adj
adj
A
=
A
3
-
2
A
∵
Order
of
A
is
3
⇒
adj
adj
A
=
A
1
A
⇒
adj
adj
A
=
A
A
Hence, adj (adj A) is equal to
|A|A
.
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