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If A =[{:(3,-3,4),(2,-3,4),(0,-1,1):}]an...

If A `=[{:(3,-3,4),(2,-3,4),(0,-1,1):}]`and B is the adjoint of A, find the value of`|AB+2I|`,where l is the identity matrix of order 3.

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`because " "A = [{:(3,-3,4),(2,-3,4),(0,-1,1):}]`
`therefore" " |A| = [{:(3,-3,4),(2,-3,4),(0,-1,1):}]`
`=3(-3+4) + 3(2-0) + 4(-2-0) = 1 ne 0`
`therefore |AB + 2I| = (|A| + 2)^(3)`
` =(1+2)^(3) = 3^(3) =27`
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