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If 2,-4 are the eigen value of a non-singular matrix A and IAI=-8, then the eigen vaule of Adj A are x and -y then the value x+y is ?

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Eigen value of Adj A= det(A)/eigen value of (A)

now here ,

det(A)=-8

eigen value =2,-4

eigen value of Adj A= -8/2 =-4=x

                                =-8/-4=2=-y

x+y=-4-2=-6 [note -y=2 so y=-2]

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