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MathGroup Archive 2004

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Re: Re: Minors


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
>
>
>
>



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  • References:
    • Minors
      • From: "Robert M. Mazo" <mazo@uoregon.edu>
    • Re: Minors
      • From: Garry Helzer <gah@math.umd.edu>
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