Re: Re: Minors
Convenient for what?
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
> 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
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