New posts in eigenvalues-eigenvectors

Relation between left and right eigenvectors corresponding to the same eigenvalue

linear-algebra soft-question eigenvalues-eigenvectors

If matrix $A$ has entries $A_{ij}=\sin(\theta_i - \theta_j)$, why does $\|A\|_* = n$ always hold?

linear-algebra trigonometry eigenvalues-eigenvectors spectral-theory nuclear-norm

Proving there is an eigenvalue $\lambda$ for which $|\lambda - b_{jj}| < \epsilon \sqrt{n}$

linear-algebra matrices numerical-methods eigenvalues-eigenvectors

Do eigenvalues depend smoothly on the matrix elements of a diagonalizable matrix?

real-analysis linear-algebra matrices eigenvalues-eigenvectors matrix-analysis

What are the Eigenvectors of the curl operator?

functional-analysis operator-theory eigenvalues-eigenvectors

Spielman's proof of graph connectivity

linear-algebra graph-theory eigenvalues-eigenvectors spectral-graph-theory

Lower bound on the smallest eigenvalue

linear-algebra eigenvalues-eigenvectors

If a commutator has an eigenvalue $0$, do the two operators share an eigenvector?

linear-algebra matrices eigenvalues-eigenvectors

Intuitive understanding of Maximin Principle

optimization eigenvalues-eigenvectors spectral-theory eigenfunctions

Eigenvalues of a symmetric Jacobi matrix

eigenvalues-eigenvectors

Sum of unstable diagonal matrix with laplacian

linear-algebra matrices eigenvalues-eigenvectors graph-laplacian

How to calculate this determinant? [duplicate]

linear-algebra matrices eigenvalues-eigenvectors determinant

How to prove the eigenvalues of this matrix $A$ come in pairs $\pm\lambda$?

linear-algebra eigenvalues-eigenvectors

Metric for how symmetric a matrix is

matrices eigenvalues-eigenvectors determinant symmetric-matrices

Prove that $A\mathbf{x}=0$ has a non-zero solution $\mathbf{x}$ iff $\det(A)=0$.

linear-algebra matrices eigenvalues-eigenvectors determinant

Right eigenvector λ and left eigenvector are orthogonal.

eigenvalues-eigenvectors

How to prove that $(b,\lambda-a)^T$ is the general formula for the eigenvector of a $2\times2$ matrix?

linear-algebra matrices eigenvalues-eigenvectors

Is there a closed form expression for the eigenvectors of a 2x2 matrix?

linear-algebra matrices eigenvalues-eigenvectors closed-form wolfram-alpha

Why are the eigenvectors of the Laplacian of a ring graph sinusoidal?

linear-algebra graph-theory eigenvalues-eigenvectors graph-laplacian circulant-matrices

Rank-one update of eigenvalues

linear-algebra eigenvalues-eigenvectors matrix-rank