Specifically I have a matrix $A \in \mathbb{C}^{n \times m}$ that I am reshaping (MATLAB) to a $\frac{n}{2} \times 2m $ matrix $A'$, where n is a multiple of 2.
Is the rank preserved? In limited testing in MATLAB it seems so, but I can't understand why. $\text{rank}\ A = m$, in my example if that matters.
Is this a change of Basis? I have seen this answer but it only concerns removing rows, not also adding them as columns. Does $A'$ still span a subspace (or the same space?) of $A'$?
I don't have a very deep knowledge of linear algebra so an intuitive answer, if it exists, would be welcome.
Yeah no this does not make sense at all. I was just looking at specific matrices that have this property and must've gotten confused..