Matrices fp2 help? Eigenvalues/eigenvectors

Hi, just wanted to know if you can find an eigenvalue from an eigenvector? It's basically for this question here

I don't know if that's too small of a picture, I've attached it to the post too just in case.

Am I missing something really obvious? been staring at it for ages. Any help would be great thanks.

Yes, multiply the eigenvector by the matrix and compare. Your result should be the eigrnvector times the eigenvalue.