Question: What is the easiest and accurate way in Maple to find the eigenvalues and eigenvectors of a problem that do have some zero diagonal elements?

How to find the eigenvalues and eigenvectors of a problem that have some zero diagonal elements which dont have the usual form of the standard eigenvalue problem? I have tested some ways, but the results was not accurate enough.
If it is possible please provide me an example with relatively large matrices (e.g. M>50)
Note that M>N.
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