Re: a question about column space

On 20-03-2007 7:24, Roy wrote:

Let us assume there are three vectors x1, x2, x3 in R^n and they are
linearly independent.

First, let us choose x1 and generate two new vectors
x3-x1, x2-x1
Let y1 denote the orthonormal basis of the column space of x3-x1, x2-
x1

What does this mean? Is "the column space of x3 - x1, x2 - x1" the same
thing as the vector space generated by x3 - x1 and x2 - x1? And what is
*the* orthonormal basis? Do you think that it is unique?

Best regards,

Jose Carlos Santos
.

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