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If A is a square matrix such that A (Adj...

If A is a square matrix such that `A (AdjA)= |[4,0,0],[0,4,0],[0,0,4]|` then `det(AdjA)=`

Text Solution

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`|A|I= A*AdjA`
`|A|^n=|A*AdjA|
`|A*AdjA|=4*4*4=64`
`|A|^3= 64`
`|A|=4`
`|adjA|= |A|^(3-1)=4*4=16`
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