New posts in matrix-rank

Dimension of a Subspace of $\text{Hom}_\mathbb{K}(\mathcal{V},\mathcal{W})$ Consisting of Only Linear Transformations of Rank $\leq r$

linear-algebra matrices vector-spaces linear-transformations matrix-rank

Connection between rank and positive definiteness

linear-algebra matrix-rank positive-definite

$\operatorname{rank}(A^2)+\operatorname{rank}(B^2)\geq2\operatorname{rank}(AB)$ whenever $AB=BA$?

linear-algebra matrices inequality matrix-rank

Walter rudin 9.32

analysis derivatives metric-spaces matrix-rank projection

Multiplicity of 0 eigenvalue of directed graph Laplacian matrix

graph-theory matrix-rank algebraic-graph-theory spectral-graph-theory

Prove that row rank of a matrix equals column rank

linear-algebra matrix-rank

When solving for eigenvector, when do you have to check every equation?

linear-algebra matrices vector-spaces eigenvalues-eigenvectors matrix-rank

If we have $A = AB$, what can we conclude about $B$?

linear-algebra matrices matrix-rank

A linear map $\varphi$ such that $\varphi (GL_n(\mathbb C) )\subseteq GL_n(\mathbb C)$ preserves the rank

linear-algebra matrices matrix-rank

Invertibility of Mixing Matrix $M$ in $A=CMR$

linear-algebra inverse matrix-rank

How to calculate the rank of a matrix?

linear-algebra matrices matrix-rank

Finding the rank of the matrix directly from eigenvalues

linear-algebra matrices eigenvalues-eigenvectors matrix-rank

Rank, nuclear norm and Frobenius norm of a matrix.

optimization normed-spaces matrix-rank nuclear-norm

Is the number of linearly independent rows equal to the number of linearly independent columns?

linear-algebra matrices linear-transformations matrix-rank

Proving controllability using eigenvectors and eigenvalues

matrices eigenvalues-eigenvectors matrix-rank control-theory

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

matrices eigenvalues-eigenvectors matrix-rank

$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix

linear-algebra matrices matrix-rank idempotents

Prove that bilinear form can be presented as product of linear forms if and only if it has rank one

linear-algebra matrix-rank bilinear-form

Proof of: $AB=0 \Rightarrow Rank(A)+Rank(B) \leq n$

linear-algebra matrices inequality matrix-rank

Show that $\mathrm{rank}(AA^TA)=\mathrm{rank}(A)$.

linear-algebra matrices matrix-rank