Dashboard

Featured nodes

Roots

Public root

Templates

Guanyu's Latex template
Router template

Trees

Showcase

Related nodes

Parents1

Eigenvalues and operations on matrices

Siblings5
Sort by title
Sort by date

The eigenvalues of a scalar multiple of a matrix are the scalar multiples of the eigenvalues.
The eigenvalues of a power of a matrix are the power the eigenvalues.
The eigenvalues of a polynomial of a matrix are the polynomial of the eigenvalues.
The eigenvalues of the inverse of a nonsingular matrix are the reciprocals of the eigenvalues.
A matrix and its transpose have the same eigenvalues/characteristic polynomial.

Beta

#

Explore
Sign in
Request an invite

The eigenvalues of a scalar multiple of a matrix are the scalar multiples of the eigenvalues.

Related

Your own links and the nodes closest in meaning.

Related

Sign in to manage links and suggestions.

Similar in meaning

Suggested from content

Eigenvalues and operations on matricesClose match
The eigenvalues of a polynomial of a matrix are the polynomial of the eigenvalues.Close match
The eigenvalues of a power of a matrix are the power the eigenvalues.Close match
The eigenvalues of the inverse of a nonsingular matrix are the reciprocals of the eigenvalues.Close match
Definition of eigenvector of a matrixClose match
Definition of eigenvalue of a matrixClose match
An eigenspace of a matrix is the null space of a related matrix.Close match
Scalar multiplicationClose match
Eigenvalues and eigenvectorsClose match
The eigenvalues of a matrix are the roots/solutions of its characteristic polynomial/equation.Close match
Every matrix has an eigenvalue over the complex numbers.Close match
A matrix with real entries has eigenvalues occurring in conjugate pairs.Close match
The inverse of a scalar multiple is the reciprocal times the inverse.Close match
Distinct eigenvalues of a Hermitian matrix have orthogonal eigenvectors.Close match
Matrix-scalar multiplication is commutativeClose match
If the product of a vector and a scalar is 0Close match
Definition of eigenspace of a matrixClose match
Definition of eigenvector/characteristic vector of a linear transformationClose match
A matrix and its transpose have the same eigenvalues/characteristic polynomial.Close match
An eigenspace of a matrix is a nontrivial subspace.Close match

knowen.md© 2026 KTree Inc.

Explore What is knowen.md?Pricing Integrations Contact us Leave feedback