New posts in eigenvalues-eigenvectors

Complex eigenvalues of a rotation matrix

eigenvalues-eigenvectors rotations

Understanding why the roots of homogeneous difference equation must be eigenvalues

linear-algebra recurrence-relations eigenvalues-eigenvectors

prove the similar matrices have the same rank

eigenvalues-eigenvectors

Why isn't every element of the spectrum an eigenvalue? (Where is the error in my proof?)

functional-analysis eigenvalues-eigenvectors hilbert-spaces spectral-theory

Verify a vector is an eigenvector of a matrix

eigenvalues-eigenvectors

Eigenvectors are linearly independent?

linear-algebra matrices vector-spaces eigenvalues-eigenvectors

Finding eigenvalues of a large matrix close to a given value

linear-algebra eigenvalues-eigenvectors numerical-linear-algebra

Confusion in proof of theorem 8.33 in Axler's Linear Algebra done right

linear-algebra eigenvalues-eigenvectors proof-explanation generalized-eigenvector

Is it acceptable to have a fraction in an eigenvector?

linear-algebra matrices eigenvalues-eigenvectors

Non-integral powers of a matrix

linear-algebra complex-numbers eigenvalues-eigenvectors exponentiation jordan-normal-form

Find matrices that commute with $\operatorname{Diag}(1,1,-1)$.

linear-algebra matrices vector-spaces eigenvalues-eigenvectors linear-transformations

Using the Arnoldi Iteration to find the k largest eigenvalues of a matrix

linear-algebra matrices numerical-methods eigenvalues-eigenvectors numerical-linear-algebra

Upper bound for the sum of absolute values of the eigenvalues

matrices eigenvalues-eigenvectors

Approximate the second largest eigenvalue (and corresponding eigenvector) given the largest

eigenvalues-eigenvectors estimation

$\mathrm{rank}(AB-BA)=1$ implies $A$ and $B$ are simultaneously triangularisable

linear-algebra matrices eigenvalues-eigenvectors

Prove that the trace of the matrix product $U'AU$ is maximized by setting $U$'s columns to $A$'s eigenvectors

linear-algebra eigenvalues-eigenvectors

Sum of eigenvalues and singular values

linear-algebra matrices inequality eigenvalues-eigenvectors singular-values

How do I prove that the trace of a matrix to its $k$th power is equal to the sum of its eigenvalues raised to the $k$th power?

linear-algebra matrices eigenvalues-eigenvectors trace

I need an intuitive explanation of eigenvalues and eigenvectors

linear-algebra eigenvalues-eigenvectors intuition

Linear Algebra: Prove existence of polar form for any $n\times n $ matrix

linear-algebra eigenvalues-eigenvectors svd