[MD-sorular] Fwd: When is matrix multiplication commutative?

[Ali İlik]

---------- Forwarded message ----------
From: Don Barkauskas <barkda at wald.ucdavis.edu>
Date: 15.May.2007 07:02
Subject: RE: When is matrix multiplication commutative?
To: Ali Ä°lik <aliilik at gmail.com>


  Well, what I have is in my dissertation (Appendix A).  The link's
below.

<http://anson.ucdavis.edu/~barkda/central.pdf>

  It only covers a small case of general matrices.  Hope this helps.

     Don

> Dear Don Barkauskas,
>
> If you have, i would like any document (pdf, or powerpoint files etc.)
> from
> you about the following link:
>
> http://math.arizona.edu/~weeklynews/poster.html?id=663
>
> If the link is not available, here is what it said:
>
> "Entry Level Mathematics Colloquium Commuting Matrices: A Geometric
> Approach
> Don Barkauskas
> Department of Mathematics, The University of Arizona
> Tuesday, 31 August 2004
> 4:15 PM
> Math <http://iiewww.ccit.arizona.edu/uamap/staticLarge/89.html> 501
>
> Abstract: One of the most surprising facts that students encounter is
that
> matrix multiplication is not commutative. *AB* and *BA* are, in general,
> different. However, there are certain cases where matrix
> multiplication *is*commutative. For example, this happens if
> *A* is the identity matrix or if *A* and *B* are inverse matrices. It is
> natural to ask exactly when do two matrices commute? In this talk, I
will
> present a way to analyze this question using geometric techniques and
> complex numbers. No knowledge beyond a sophomore-level linear algebra
> class
> will be assumed. "
> I would like to know about all the cases in which matrix multiplication
is
> commutative.
>
> Best Wishes.
>
> --
> Ali �lik
> Student Asistant, Department of Mathematics, Uludag University.
>

--

  Don Barkauskas
  Graduate Group in Biostatistics
  University of California, Davis

--

  "Why did the chicken cross the Moebius strip...?"
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