Supermatrix (supersymmetry)

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In theoretical physics, the notion of a supermatrix appears in the context of supersymmetry and Grassmann numbers. It is a generalized matrix composed of four blocks; the diagonal blocks contain elements that are ordinary, commuting numbers, while the off-diagonal blocks are composed of anticommuting, Grassmann numbers.

Various concepts such as the supertrace or the Berezinian can be calculated for such supermatrices.