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If A is singular matrix, then adj(A) is
(a) Non-singular
(b) singular
(c) Symmetric
(d) Not defined

Answer
VerifiedVerified
362.1k+ views
Hint: Apply property of matrix i.e. $adjA = \left| A \right| \cdot I$ where A is a singular matrix. From this property, we will get our answer.

Complete step-by-step answer:
Since A is singular matrix
Then $\left| A \right| = 0$
As we know that
$adjA = \left| A \right| \cdot I$
$ \Rightarrow adjA = 0$
Hence adjA is a singular matrix
So option (a) is correct

NOTE: Whenever you come to this type of problem try to apply properties of the matrix to get the answer in a simple way and need to remember different types of matrix and their properties.
Last updated date: 03rd Oct 2023
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