If A is a unit matrix of order n,

Question:

If $A$ is a unit matrix of order $n$, then $A(\operatorname{adj} A)=$____________

Solution:

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

But it is given that $A$ is a unit matrix of order $n$

Therefore, $A(\operatorname{adj} A)=|I| I=(1) \mid=1$

Hence, if $A$ is a unit matrix of order $n$, then $A(\operatorname{adj} A)=\underline{l}$.

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