New posts in Matrix Rank

How to show that this $2n \times n^2$ matrix has rank $2n-1$?

Rank preservation of Hankel matrix by adding constrained sample

Polynomial matrix equality and controllability

If $A^m = 0$, then $\mbox{rank}(A) \leq \frac{m-1}{m}{n}$

Is the rank of a matrix equal to the number of non-zero eigenvalues?

Find the rank of $T^2$

Square Matrix Inequality

Let $T,U:V\to W$ be linear transformations. Prove that if $W$ is finite-dimensional, then $\text{rank}(T+U)\leq\text{rank}(T) + \text{rank}(U)$.

Prove that rank(A) = rank(A|C)

When $A$ is $3\times3$, prove that $A^2=0$ iff $A$ has rank less than or equal one and trace zero