I'm studying low rank approximation by way of SVD and I'm having trouble understanding how the result matrix has lower rank. For instance, in the link the calculation performed on page 11 resulting in the so-called low rank approximation on page 12. This matrix on page 12 doesn't appear to me to be of rank 2 as one would think. I would expect only 2 linearly independent row vector. When I put it back into a calculator it is still rank 9.(adsbygoogle = window.adsbygoogle || []).push({});

http://lsa.colorado.edu/papers/dp1.LSAintro.pdf

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Low Rank Approximation

**Physics Forums | Science Articles, Homework Help, Discussion**