New posts in eigenvalues-eigenvectors

Do Real Symmetric Matrices have 'n' linearly independent eigenvectors? [duplicate]

linear-algebra eigenvalues-eigenvectors symmetric-matrices

Prove that the Sylvester equation has a unique solution when $A$ and $-B$ share no eigenvalues

linear-algebra eigenvalues-eigenvectors proof-explanation matrix-equations sylvester-equation

Eigenvalues of a linear operator from $\mathbb R\to\mathbb C$

linear-algebra eigenvalues-eigenvectors operator-algebras adjoint-operators

What is the relation between the eigenspace of a matrix and its column space?

linear-algebra matrices eigenvalues-eigenvectors

Diagonalized matrix - Is each column an eigenvector?

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

Find the eigenvalue of a stochastic matrix by only using linear operator

linear-algebra matrices solution-verification eigenvalues-eigenvectors

Finding the rank of the matrix directly from eigenvalues

linear-algebra matrices eigenvalues-eigenvectors matrix-rank

Computing the trace and determinant of $A+B$, given eigenvalues of $A$ and an expression for $B$

linear-algebra matrices eigenvalues-eigenvectors determinant

Quick ways to _verify_ determinant, minimal polynomial, characteristic polynomial, eigenvalues, eigenvectors ...

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How to obtain the sum of squared eigenvalues without finding the eigenvalues?

matrices eigenvalues-eigenvectors

Minimal polynomial of $T(X)=A^{-1}XA$

linear-algebra vector-spaces eigenvalues-eigenvectors minimal-polynomials

Let $A\in M_n(\Bbb R)$ prove that, $\|A^n\|\le \frac{n}{\ln 2}\|A\|^{n-1}$ when $\lambda_i<1.$

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Prove that matrices of this form have eigenvalues $0,1,\ldots , n-1$

linear-algebra abstract-algebra eigenvalues-eigenvectors

Showing that $x^{\top}Ax$ is maximized at $\max \lambda(A)$ for symmetric $A$

linear-algebra optimization eigenvalues-eigenvectors non-convex-optimization qcqp

Minimum of a quadratic form

linear-algebra matrices optimization eigenvalues-eigenvectors quadratic-forms

Is there an iterative procedure that pushes the singular values of a matrix toward unity?

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Reference: Continuity of Eigenvectors

linear-algebra reference-request eigenvalues-eigenvectors perturbation-theory

What are eigenvalues of higher order finite differences matrices?

matrices eigenvalues-eigenvectors

Show that if $R^n$ has an eigenvector basis for a matrix A, then there exists an eigenvector basis with respect to the transpose of A

linear-algebra matrices eigenvalues-eigenvectors

Explaining the physical meaning of an eigenvalue in a real world problem

eigenvalues-eigenvectors