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Scalar Matrix

If A is a squ...

Question

If A is a square matrix such that A (adj A) 5I, where I denotes the identity matrix of the same order. Then, find the value of |A|.

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Solution

We know
$A (a d j A) = |A| I$
Here,
$A (a d j A) = 5 I ∴ |A| = 5$

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