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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
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