can anyone give some hints to prove rank(A+B)<=rankA+rankB ?(adsbygoogle = window.adsbygoogle || []).push({});

i just don't know how to find the rank(A+B) from the column vectors of (A+B) ... or there's another way to prove?

thanks a lot

**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!

# How to prove rank(A+B)<=rankA+rankB ?thanks

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