what is complexity cost for determining all of eigen values? what is complexity cost for calculating determinant ?
2026-04-08 05:56:55.1775627815
complexity cost for which one is greater : determinant or eigen values?
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You can compute the determinant in $O(n^3)$ operations using Gaussian elimination. Finding eigenvalues cannot be done with rational operations because it is equivalent to finding roots of polynomials and there are no formulas for that for degree 5 or higher. Do you mean the complexity of finding approximations for eigenvalues?