New posts in eigenvalues-eigenvectors

Do eigenvectors always form a basis?

linear-algebra proof-writing eigenvalues-eigenvectors

Lower bound on smallest eigenvalue of (symmetric positive-definite) matrix

linear-algebra matrices eigenvalues-eigenvectors

Recovering eigenvectors from SVD

linear-algebra eigenvalues-eigenvectors svd

Significance of eigenvalue

matrices graph-theory soft-question eigenvalues-eigenvectors spectral-graph-theory

A $3\times3$ matrix $P$ is such that, $P^3 = P$. Then the eigenvalues of $P$ are?

linear-algebra eigenvalues-eigenvectors

Why would one eigenvalue correspond to multiple eigenvectors?

linear-algebra matrices eigenvalues-eigenvectors

Shared eigenvectors between $A$ and $A^k$

linear-algebra matrices eigenvalues-eigenvectors

Eigenvalues of a random Gaussian matrix

eigenvalues-eigenvectors gaussian

Eigenvalues of some peculiar matrices

linear-algebra matrices eigenvalues-eigenvectors

Proving controllability using eigenvectors and eigenvalues

matrices eigenvalues-eigenvectors matrix-rank control-theory

Showing if two matrices have the same eigenvectors, they commute

linear-algebra eigenvalues-eigenvectors

Invariance of eigenvalues of a product of square matrices under cyclic permutation

linear-algebra eigenvalues-eigenvectors

Eigenvalues of a matrix with repeating pattern of entries

linear-algebra matrices eigenvalues-eigenvectors block-matrices

Showing $u^T M u \geq v^TMv$ when $M$ is symmetric PD and $u,v$ are $0-1$ vectors

matrices eigenvalues-eigenvectors quadratic-forms

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

matrices eigenvalues-eigenvectors matrix-rank

Geometric Multiplicity, Eigenspace of Matrix

linear-algebra matrices eigenvalues-eigenvectors

Prove that $\det(A^2 + A + xI) = x$

linear-algebra matrices eigenvalues-eigenvectors determinant

Prove $\rm AB = BA = 0$ if the set of nonzero eigenvalues of $\rm A + B$ is union of set of nonzero eigenvalues of $\rm A$ and $\rm B$.

linear-algebra eigenvalues-eigenvectors matrix-decomposition

Maximizing weighted sum of eigenvalues of a matrix ($\Lambda_1 U^\top \Lambda_2 U \Lambda_1$)

linear-algebra optimization eigenvalues-eigenvectors orthogonality

Eigenvalues and Eigenvectors of $2 \times 2$ Matrix

linear-algebra matrices eigenvalues-eigenvectors