Dashboard

Featured nodes

Roots

Public root

Templates

Guanyu's Latex template
Router template

Trees

Showcase

Related nodes

Parents1

Nilpotent matrices

Siblings5
Sort by title
Sort by date

Definition of nilpotent matrix
Definition of index of nilpotency
Every nilpotent matrix is similar to a sum of nilpotent Jordan blocks
A complex square matrix is nilpotent iff all its eigenvalues are zero
Commuting diagonalizable and nilpotent decomposition over the complex numbers

Beta

#

Explore
Sign in
Request an invite

A complex square matrix is nilpotent iff all its eigenvalues are zero

Related

Your own links and the nodes closest in meaning.

Related

Sign in to manage links and suggestions.

Similar in meaning

Suggested from content

Nilpotent matricesClose match
Definition of nilpotent matrixClose match
Definition of index of nilpotencyClose match
Every matrix has an eigenvalue over the complex numbers.Close match
An n-by-n complex matrix has n eigenvalues counting multiplicityClose match
Definition of nilpotent linear transformationClose match
The eigenvalues of a matrix are the roots/solutions of its characteristic polynomial/equation.Close match
A matrix with real entries has eigenvalues occurring in conjugate pairs.Close match
Equivalence theorem for nonsingular matrices: the matrix A does not have 0 as an eigenvalue.Close match
The characteristic polynomial applied to the matrix gives the 0 matrix.Close match
Equivalence theorem for nonsingular matrices: the nullity of the matrix A is 0.Close match
Definition of nullity of a matrixClose match
Every nilpotent matrix is similar to a sum of nilpotent Jordan blocksClose match
Commuting diagonalizable and nilpotent decomposition over the complex numbersClose match
Equivalence theorem for nonsingular matrices: the null space of the matrix A is {0}.Close match
The minimal polynomial of a square matrix exists and is unique.Related
Hermitian matrices have real eigenvalues.Related
The Cayley-Hamilton theorem for a matrix.Related
Definition of nonsingular matrix: the associated homogeneous linear system has only the trivial solutionRelated
Equivalence theorem for nonsingular matrices: the determinant of A is nonzero.Related

knowen.md© 2026 KTree Inc.

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