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## Main Question or Discussion Point

for dimension 2, the following relation between determinant and trace of a square matrix A is true:

det A=((Tr A)

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

det A=((Tr A)

^{2}-Tr (A^{2}))/2for dimension 3 a similar identity can be found in http://en.wikipedia.org/wiki/Determinant

Does anyone know the generalization to dimension 4 ?

lukluk