Re: Minors

*To*: mathgroup at smc.vnet.net*Subject*: [mg53129] Re: [mg52844] Minors*From*: Garry Helzer <gah at math.umd.edu>*Date*: Fri, 24 Dec 2004 05:59:24 -0500 (EST)*References*: <200412141100.GAA24699@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

If A is the matrix of a linear transformation T on R^n, then Minors[A,k] is the matrix of the induced transformation on the k-th exterior product--that is the induced transformation on k-vectors defined by (using ^ for the wedge product) T(a1^a2^ . . . ^ak)=T(a1)^T(a2)^ . . . ^T(ak) I don't know if this is the actual reason, but it is certainly convenient. On Dec 14, 2004, at 3:00 AM, Robert M. Mazo wrote: > The Minors command gives, as the (i,j) minor af an nxn matrix, what > ordinary mathematical notation calls the (n-i+1,n-j+1) minor . I know > how to work around this. It is explained on pg. 1195 of The > Mathematica Book (version 4). My question here is, why did the > programmers of Mathematica define Minors this unconventional way? > They usually had a good reason for their programming quirks, but I > can't think of a reason for this one. Can anyone enlighten me? > > Robert Mazo > mazo at uoregon.edu > > Garry Helzer gah at math.umd.edu

**Follow-Ups**:**Re: Re: Minors***From:*DrBob <drbob@bigfoot.com>

**References**:**Minors***From:*"Robert M. Mazo" <mazo@uoregon.edu>