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About: Quasideterminant     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Cognition100023271yago:CognitiveFactor105686481yago:Determinant105692419yago:PsychologicalFeature100023100yago:WikicatDeterminants New Facet based on Instances of this Class

In mathematics, the quasideterminant is a replacement for the determinant for matrices with noncommutative entries. Example 2 × 2 quasideterminants are as follows: In general, there are n2 quasideterminants defined for an n × n matrix (one for each position in the matrix), but the presence of the inverted terms above should give the reader pause: they are not always defined, and even when they are defined, they do not reduce to determinants when the entries commute. Rather, where means delete the ith row and jth column from A.