Compound matrix: Difference between revisions

Revision as of 01:05, 11 September 2014

Revision as of 23:16, 23 December 2015

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If <math>A</math> is viewed as the matrix of an operator in a basis <math>(e_1,\dots,e_n)</math> then the compound matrix <math>C_k(A)</math> is the matrix of the <math>k</math>-th exterior power <math>A^{\wedge k}</math> in the basis <math>(e_{i_1} \wedge \dots \wedge e_{i_k}, i_1 < \dots < i_k)</math>. In this formulation, the multiplicativity property stated above is equivalent to the functoriality of the exterior power.

==References==