Math 314/814 Matrix Theory Home Page

Math 314/814 Matrix Theory Home Page Spring, 2008 Mark Brittenham

This page is devoted to materials and links specific to Mark Brittenham's Math 314 class for Spring, 2008. Here you may find lists of homework assignments, dates for exams, as well as lists of topics covered by these exams, an html-ized copy of the course summary (as well as Postscript and PDF copies), and anything else that might come up.

Solutions and handouts handed out in class.

The group project was handed out in class March 11; it is due April 10. Click below for a copy of the project in .ps or .pdf or .tex format.

Some linear algebra links:

Wikipedia entry for linear algebra: en.wikipedia.org/wiki/Linear_algebra .

The $25,000,000,000 Eigenvector: The Linear Algebra Behind Google.

Some linear algebra resources maintained by Tom Shores at UNL.

Some Maple stuff would probably be useful. Here's some code I found lying around my computer account. As an example, you can cut and paste this stuff in:

with(linalg);
A:=matrix([[.1,.3,.7],[.4,.3,.1],[.5,.4,.2]]);
v:=matrix(3,1,[.2,.3,.5]);
w:=matrix(3,1,[.9,0,.1]);
evalm(A^20*v);
evalm(A^20*w);

(These are examples of Markov chains. If you want to have some fun, change the 20's to 20000's.... note the amount of time (at the bottom) each takes...)

Some (mathematical) links that might be of general interest:

A site called SOS Math at the Univ. of Texas at El Paso offers pages of material on topics ranging from polynomial long division, the quadratic formula, and trigonometric identities, to Taylor polynomials, the Cauchy-Riemann equations, and Matrix algebra.
Another site covering similar material, including solved homework problems for you to practice on, is kept in Belgium.

Dan Sloughter has a web page containing Java programs for visualizing various mathematical concepts. My favorite is one which will draw the Taylor polynomial approximations for y=sin(x) .