Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


fl
Posts:
116
Registered:
10/8/05


Question about null basis of a matrix A (linear algebra)
Posted:
Feb 22, 2013 11:53 AM


Hi,
I read a handout from a website on SVD. I do not understand the last line below dot line.
The handout first talked think matrix V(rXr) in SVD: A V=U Sigma Later it introduced full matrix V. V was not seen to increase dimension from r to n in either row or column.
But below it talked about r+1....n. How to understand this differences? Thanks,
............. range and null space if r = rank(A), then ? {u1, . . . , ur} are an orthonormal basis for range(A) ? {vr+1, . . . , vn} are an orthonormal basis for null(A)



