- characteristic root of a square matrix
__noun__*(mathematics)*any number such that a given square matrix minus that number times the identity matrix has a zero determinant•__Hypernyms__: ↑value

*Useful english dictionary.
2012.*

- characteristic root of a square matrix
__noun__*(mathematics)*any number such that a given square matrix minus that number times the identity matrix has a zero determinant•__Hypernyms__: ↑value

*Useful english dictionary.
2012.*

**eigenvalue of a square matrix**— noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a matrix, ↑characteristic root of a square matrix • Hypernyms: ↑value … Useful english dictionary**eigenvalue of a matrix**— noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a square matrix, ↑characteristic root of a square matrix • Hypernyms: ↑value … Useful english dictionary**Matrix exponential**— In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group.… … Wikipedia**Diagonalizable matrix**— In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear … Wikipedia**Jordan matrix**— In the mathematical discipline of matrix theory, a Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix which is composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element… … Wikipedia**Rotation matrix**— In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… … Wikipedia**Density matrix**— Mixed state redirects here. For the psychiatric condition, see Mixed state (psychiatry). In quantum mechanics, a density matrix is a self adjoint (or Hermitian) positive semidefinite matrix (possibly infinite dimensional) of trace one, that… … Wikipedia**Eigenvalue algorithm**— In linear algebra, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Contents 1 Characteristic polynomial 2 Power… … Wikipedia**Perron–Frobenius theorem**— In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… … Wikipedia**Eigenvalues and eigenvectors**— For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… … Wikipedia