Question: finding determinant of large matrix with symbolic variable


is there a limit to the matrix size on which the Determinant(A) can operate? I am working on a project that generates a 22x22 matrix of coefficients of unknowns, which I built out of the GenerateMatrix() function.  If I use subs(omega=1, AA), the determinant is calculated. Still, I want the determinant in terms of omega so I can solve for Determinant(A)=0 in order to find the natural frequencies and then find my unknown coefficients.

When I use the Determinant function on my symbolic matrix is always returns 0. I know from using smaller matrices that it can do symbolic determinants. If there is a better way to do what I am trying to do, please let me know!


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