So i have this question :
The number of columns of a matrix gives the dimension of the span of the column vectors.
I know that the answer is indeed FALSE.
But i want to back my answer up with a simple, right, yet CONCRETE explanation of why that is so.
I was thinking : the question if false due to the fact that the dimension o of the span of the column vectors is given by the maximum amount of linearly independent vectors.
is that correct?