New posts in Matrix Rank

Uniqueness of trace as linearization of the rank

Prove that $\det(AB-BA)=0$

Why Row operation does not change the column rank?

Show that B is a nonsingular matrix (not that obvious).

If $A$ is an $m \times n$ matrix, prove that $Ax=0$ has infinite solutions $\iff$ $\text{rank}(A)<n$

How to calculate the rank of a matrix?

rank(AB) = rank(A) if B is invertible

If $\operatorname{rank} (AB) = \operatorname{rank} (BA)$ for any $B$, then is $A$ invertible?

Finding the rank of the matrix directly from eigenvalues

Some basic questions regarding rank-1 matrices