Matrix A is an mxn matrix with rank r and matrix B is a MxN matrix with rank R. The column space of A is in or equal to the column space of B.

Fill in the inequality ( <= , < , >, = , >= )

1) m ____ M

2) r _____ R

I know that for number two it must be <= but I'm not sure about #1.

I'm thinking it's = but then I'm doubting it and thinking it might be <=