In class my professor row reduced a matrix A into the form U. Then he started to go over how to find the basis for the left nullspace in a matrix A.(adsbygoogle = window.adsbygoogle || []).push({});

Instead of going through the entire process of row reducing the transpose of A and finding its nullspace, he just used the last row of the elimination matrix E as the basis.

Can someone explain why this is so? Is it just a property of the leftnullspace? And can I use it for finding the basis of N(A^T) for any row reduced matrix?

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

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

# Properties of the leftnullspace

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