Compound matrix: Difference between revisions

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{{unreferenced|date=August 2012}}
 
In mathematics, the ''k''th '''compound matrix''' ''C''<sub>''k''</sub>(''A'') of an ''nm''&nbsp;&times;&nbsp;''n'' [[matrix (mathematics)|matrix]] ''A'' is the <math>\left(\binom m k - 1\right)\times\left(\binom mn k - 1\right)</math> matrix formed from the [[determinant]]s of all ''k''&nbsp;&times;&nbsp;''k'' submatrices of ''A'' arranged with the submatrix index sets in [[lexicographic order]].
 
: <math>