Gram-Schmidt process
- From: SusanP <susanp@xxxxxxxxxxx>
- Date: Sun, 27 Nov 2005 17:15:55 EST
Is it true that if {w1, w2, ..., wn} is an orthogonal
set of nonzero vectors, then the vectors v1, v2,..., vn
derived from the Gram-Schmidt process satisfy vi=wi,
for i= 1,2, ..., n?
If so, can anyone think of a way to prove it? (Possibly
without induction... I don't like it very much....)
I know the orthogonal vectors w1, w2,..., wn are
linearly independent.
.
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