nonsingular matrix
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nonsingular matrix — noun a square matrix whose determinant is not zero • Ant: ↑singular matrix • Hypernyms: ↑square matrix … Useful english dictionary
matrix — /may triks, ma /, n., pl. matrices /may tri seez , ma /, matrixes. 1. something that constitutes the place or point from which something else originates, takes form, or develops: The Greco Roman world was the matrix for Western civilization. 2.… … Universalium
Matrix difference equation — A matrix difference equation[1][2] is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related to its own value at one or more previous points in time, using matrices. Occasionally … Wikipedia
Matrix ring — In abstract algebra, a matrix ring is any collection of matrices forming a ring under matrix addition and matrix multiplication. The set of n×n matrices with entries from another ring is a matrix ring, as well as some subsets of infinite matrices … Wikipedia
Generalized permutation matrix — In mathematics, a generalized permutation matrix (or monomial matrix) is a matrix with the same nonzero pattern as a permutation matrix, i.e. there is exactly one nonzero entry in each row and each column. Unlike a permutation matrix, where the… … Wikipedia
Involutory matrix — In mathematics, an involutory matrix is a matrix that is its own inverse. That is, matrix A is an involution iff A2 = I.One of the three classes of elementary matrix is involutory, namely the row interchange elementary matrix . A special case of… … Wikipedia
square matrix — noun a matrix with the same number of rows and columns • Hypernyms: ↑matrix • Hyponyms: ↑diagonal matrix, ↑determinant, ↑Latin square, ↑magic square, ↑nonsingular matrix, ↑singular matrix … Useful english dictionary
singular matrix — noun a square matrix whose determinant is zero • Ant: ↑nonsingular matrix • Hypernyms: ↑square matrix … Useful english dictionary
Invertible matrix — In linear algebra an n by n (square) matrix A is called invertible (some authors use nonsingular or nondegenerate) if there exists an n by n matrix B such that where In denotes the n by n identity matrix and the multiplication used is ordinary… … Wikipedia
Symplectic matrix — In mathematics, a symplectic matrix is a 2n times; 2n matrix M (whose entries are typically either real or complex) satisfying the condition:M^T Omega M = Omega,.where MT denotes the transpose of M and Omega; is a fixed nonsingular, skew… … Wikipedia
P-matrix — In mathematics, a P matrix is a complex square matrix with every principal minor > 0. A closely related class is that of P0 matrices, which are the closure of the class of P matrices, with every principal minor 0. Contents 1 Spectra of P… … Wikipedia
