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If A is a square matrix of order n , ...

If `A` is a square matrix of order `n` , prove that `|A\ a d j\ A|=|A|^n` .

Text Solution

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`A^(-1)=frac{adj A}{|A|}`
`AdjA=A^ (−1) .∣A∣`
`∣A.A^( −1) ∣A∣∣` ...
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