If A is a square matrix such that A (adj A) 5I,

Question:

If $A$ is a square matrix such that $A(\operatorname{adj} A) 5 /$, where $/$ denotes the identity matrix of the same order. Then, find the value of $|A|$.

Solution:

We know

$A(\operatorname{adj} A)=|A| I$

Here,

$A(\operatorname{adj} A)=5 I$

$\therefore|A|=5$

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