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wedge tex2html_wrap_inline5387 matrix M tex2html_wrap_inline5389 tex2html_wrap_inline5387 integer p tex2html_wrap_inline5389 tex2html_wrap_inline5387 result matrix tex2html_wrap_inline5389

  Compute the determinants of all the p by p minors of the given m by n matrix. The resulting matrix tex2html_wrap_inline6473 has size tex2html_wrap_inline6475 by tex2html_wrap_inline6207 . The signs are chosen so that if C = A.B, where A and B are matrices, then tex2html_wrap_inline6483 .

For example,

%  type m
; a b c 
; d e f 
; g h i 

%  wedge m 2 n

%  type n
; -bd+ae cd-af  -ce+bf 
; bg-ah  -cg+ai ch-bi  
; -eg+dh fg-di  -fh+ei

Use the flatten command to find the ideal of all of these determinants.



Sorin Popescu
Fri Feb 14 17:37:19 EST 1997