If A is a singular matrix,


If $A$ is a singular matrix, then $A(\operatorname{adj} A)=$____________


As we know that, $A(\operatorname{adj} A)=|A| I$.

But it is given that $A$ is a singular matrix

Thus, $|A|=0$

Therefore, $A(\operatorname{adj} A)=0 I=O$, where $O$ is the zero matrix.

Hence, if $A$ is a singular matrix, then $A(\operatorname{adj} A)=\underline{O}$.

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