Recent content by dwcook

I have gone through a standard graduate level linear algebra text and have checked all of the usual methods (finding the eigenvalues, determinant, et c.). This works fine for individual cases, but I am trying to prove this for a family of square matrices. In particular, I was hoping someone...

I am curious if anyone knows conditions on the invertibility of a symmetric Toeplitz matrix. In my research, I have a symmetric Toeplitz matrix with entries coming from the binomial coefficients. Any help would be appreciated. Ex: [6 4 1 0 0] [4 6 4 1 0] [1 4 6 4 1] [0 1 4 6 4] [0...