New posts in eigenvalues-eigenvectors

Eigenvalues of large tridiagonal matrix

linear-algebra matrices eigenvalues-eigenvectors tridiagonal-matrices

Find $\sum\limits_{k=0}^{n-1}\,\omega_n^{k^2\ell}$, where $\omega_n:=\exp\left(\frac{2\pi\text{i}}{n}\right)$.

matrices complex-numbers summation eigenvalues-eigenvectors roots-of-unity

Eigenvalues of $MA$ versus eigenvalues of $A$ for orthogonal projection $M$

linear-algebra matrices inequality proof-verification eigenvalues-eigenvectors

Necessary and sufficient conditions for left and right eigenvectors to be equal

linear-algebra matrices eigenvalues-eigenvectors

Are the eigenvectors of a real symmetric matrix always an orthonormal basis without change?

linear-algebra matrices eigenvalues-eigenvectors

Eigenvalue bound for quadratic maximization with linear constraint

linear-algebra matrices eigenvalues-eigenvectors positive-definite qcqp

Eigenvalues of inverse matrix to a given matrix

linear-algebra matrices eigenvalues-eigenvectors

If the sum of eigenvectors is an eigenvector, then they all correspond to the same eigenvalue

linear-algebra proof-verification proof-writing eigenvalues-eigenvectors

Kantorovich inequality and Cauchy-Schwarz inequality

linear-algebra inequality eigenvalues-eigenvectors cauchy-schwarz-inequality

Eigenvalues of Kronecker Product

matrices eigenvalues-eigenvectors tensor-products multilinear-algebra kronecker-product

Second directional derivative and Hessian matrix

linear-algebra multivariable-calculus eigenvalues-eigenvectors hessian-matrix

All Invariant Subspaces of a Linear Transformation

linear-algebra vector-spaces eigenvalues-eigenvectors

Connection between algebraic multiplicity and dimension of generalized eigenspace

linear-algebra vector-spaces eigenvalues-eigenvectors

Stability when eigenvalues are zero : $x' = -x + y + x^2 + ax^3, \space y' = x - y + x^2 + bxy + y^3$

ordinary-differential-equations eigenvalues-eigenvectors dynamical-systems stability-in-odes stability-theory

Why eigenvectors with the highest eigenvalues maximize the variance in PCA?

linear-algebra eigenvalues-eigenvectors linear-transformations machine-learning principal-component-analysis

Eigenvalues and eigenvectors of a block matrix [A,B; B,A]

matrices eigenvalues-eigenvectors

Eigenvalues of product of two complex matrices

eigenvalues-eigenvectors

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

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

Overcomplete matrix eigendecomposition

matrices eigenvalues-eigenvectors numerical-linear-algebra matrix-decomposition svd

Find the roots of a polynomial using its companion matrix

matrices polynomials eigenvalues-eigenvectors roots companion-matrices