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## Main Question or Discussion Point

I am having trouble with the following question. (Just hoping to get some guidance, recommended texts etc.):

"Consider an eigenvalue problem

Any help would be fantastic!

"Consider an eigenvalue problem

**A****x**= λ**x**, where__is a real symmetric n*n matrix, the transpose of the matrix coincides with the matrix, (__**A****A**)^T =**A**. Find all the eigenvalues and all the eigenvectors. Assume that n is a large number."Any help would be fantastic!