for dimension 2, the following relation between determinant and trace of a square matrix A is true:(adsbygoogle = window.adsbygoogle || []).push({});

det A=((Tr A)^{2}-Tr (A^{2}))/2

for dimension 3 a similar identity can be found in http://en.wikipedia.org/wiki/Determinant

Does anyone know the generalization to dimension 4 ?

lukluk

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# Determinant as a function of trace

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