Hi(adsbygoogle = window.adsbygoogle || []).push({});

I am arguing with a friend about the following:

He claims that if a mxn matrix A, m>=n has a reduced QR-decomposition where R has j nonzero diagonal elements, then the rank of A is at least j. I claim that it is exactly j.

It was some years ago since i read linear algebra so i was hoping someone here could help us out.

**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!

# If a mxn matrix A, m>=n has a reduced QR-decomposition

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