Szigeti Jenő (Miskolc): A szimmetrikus determináns és a 3x3-as szimmetrikus
Newton-formula
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Abstract:
One of the aims of this talk is to provide a short survey on
the natural left, right and symmetric generalizations of the classical
determi-
nant theory for square matrices with entries in an arbitrary (possibly non-
commutative) ring. Then we use the preadjoint matrix to exhibit a general
trace expression for the symmetric determinant. The symmetric version of the
classical
Newton trace formula is presented in the 3x3 case.