If so, why don't we use that to get from any square matrix to a triangular matrix - from which can be deduced eigenvalues, determinant (product of eigenvalues) and diagonal matrix (since the diagonal elements are the eigenvalues) - rather than using the characteristic polynomial, eigenvectors and $D = P^{-1}AP$ ?
2026-03-26 21:07:24.1774559244
Does gaussian elimination always work?
418 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LINEAR-ALGEBRA
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