If A is a singular matrix, then adj A is


If A is a singular matrix, then adj A is
(a) non-singular
(b) singular
(c) symmetric
(d) not defined


(b) singular

$A$ is singular, so $|A|=0$.

By definition, we have

$A \operatorname{adj}(A)=O$

$\Rightarrow \mid A$ adj $(A)|=| O \mid$



Hence, adj $(A)$ is singular.

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