The template {{Wikify}} has been deprecated since 25 August 2012, and is retained only for old revisions. If this page is a current revision, please remove the template.
| Template:Wikify is deprecated. Please use a more specific cleanup template as listed in the documentation. |
This article does not contain any links to other Wikipedia articles. (August 2012) |
The kth compound matrix of A[m#n] is the m!(k!(m-k)!)-1#n!(k!(n-k)!)-1 matrix formed from the determinants of all k#k submatrices of A arranged with the submatrix index sets in lexicographic order. Within this section, we denote this matrix by Ck(A).
C1(A) = A Cn(A[n#n]) = det(A) Ck(AB) = Ck(A)Ck(B) Ck(aX) = akCk(X) Ck(I) = I Ck(AH) = Ck(A)H Ck(AT) = Ck(A)T Ck(A-1) = Ck(A)-1