Re: Re: Minors

*To*: mathgroup at smc.vnet.net*Subject*: [mg53144] Re: [mg53129] Re: [mg52844] Minors*From*: DrBob <drbob at bigfoot.com>*Date*: Sat, 25 Dec 2004 04:00:38 -0500 (EST)*References*: <200412141100.GAA24699@smc.vnet.net> <200412241059.FAA05862@smc.vnet.net>*Reply-to*: drbob at bigfoot.com*Sender*: owner-wri-mathgroup at wolfram.com

Convenient for what? Bobby On Fri, 24 Dec 2004 05:59:24 -0500 (EST), Garry Helzer <gah at math.umd.edu> wrote: > 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 > > > > -- DrBob at bigfoot.com www.eclecticdreams.net

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

**Re: Minors***From:*Garry Helzer <gah@math.umd.edu>