Prove that for any m*n matrix A and any n*n matrix B, nullity A is less than or equal to nullity AB.(adsbygoogle = window.adsbygoogle || []).push({});

I know nullity of A is n-rank A and this is always greater than or equal to 0 and I figured nullity AB is like nullity A * nullity B, which are both greater than or equal to 0. Is this in the right direction?

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

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!

# Homework Help: Linear algebra problem

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