Ker A Subset Ker B: Finding a Reference

[agnes.gorge]

Hello,

I am trying to find a reference for the following results :

Let A and B be two matrices :
Ker A \subset Ker B if and only if there exists M such that B= MA

I already have a proof for this statement, but it looks like a classical algebraic result, so I'm looking for a reference to add in my paper, like a book or a paper..

Thanks in advance for any suggestions..

 

[mathwonk]

I'm watching the knicks right now and admit i don't see it quite completely in my head, but this looks like a homework level question. so a reference would be in a beginning textbook.

 

[agnes.gorge]

Thank you for you help, I'll try to find such a book..