Re: GramSchmidt function

*To*: mathgroup at smc.vnet.net*Subject*: [mg124674] Re: GramSchmidt function*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Tue, 31 Jan 2012 05:34:46 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <jfr2jl$n9f$1@smc.vnet.net> <201201301010.FAA17600@smc.vnet.net>*Reply-to*: murray at math.umass.edu

You may want to take a look at my notebook GramSchmide.nb on my old Math 236 (Linear Algebra) course web site: http://www.math.umass.edu/~murray/Math_236/Files/files.html What's done there is build the Gram Schmidt procedure in a "geometric" way that reveals what's really going on in terms of orthogonal projection onto vector subspaces. It's hardly state-of-the-art from a computational view, but rather is intended to teach not just the underlying geometric ideas but also some basic Mathematica programming techniques, including: modularization of a procedure and then using iteration (including doing so in a functional way by using Fold) or recursion. On 1/30/12 5:10 AM, Andie S. wrote: > Yes, it was a practice exercise that I was able to figure out with > some trial and error. > I was aware of the "Orthogonalize" function. And the point of the > exercise was to compare the two. > But thanks for the suggestions! > > > On Jan 26, 3:24 am, "Andie S."<freefalling... at gmail.com> wrote: >> I am having trouble creating a function gramSchmidt[vList] to >> construct an orthogonal basis for a list of vectors, vList. >> any pointers on how to do this? Thanks! > > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305

**References**:**Re: GramSchmidt function***From:*"Andie S." <freefalling779@gmail.com>