Question: How do I solve this eigenvalue question?

The matrix:

<3,-2,-1,2,0>;

<11,4,-8,2,7>;

<0,0,2,0,0>;

<3,3,-4,3,3>;

<-8,4,5,-4,-1>;

 

has eigenvector:

<2,0,-1,0,1>

 

Find its corresponding eigenvalue.

(Hint: you don't need to find all the eigenvalues and eigenvectors to answer this question.)

 

Steps and the solution will be greatly appreciated. thanks!

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