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Question

If 2, – 4 are the eigen values of a non-singular matrix A and |A| = –8, then the eigen values of Adj A are x and –y then the value of x + y is _________.

Comments

@pream sagar

you did some mistake please check your comment.

answer should be $-6$

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actually you have taken

 

 x=−4  and −y=2⇒y=−2

⇒x+y=−4−2=−6

and i have taken x=2 and -y=-4 ==>y=4  as  they mention in question x and -y are eigen values of Adj matrix

then x+y=6

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@ pream sagar

see my comment, I also take eigen value of adj(A) matrix.

why you take $x=2$ and $-y=4?$