left invertible
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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
Matriz invertible — En matemáticas, y especialmente en álgebra lineal, una matriz cuadrada A de orden n se dice que es invertible, no singular, no degenerada o regular si existe otra matriz cuadrada de orden n, llamada matriz inversa de A y representada como A−1,… … Wikipedia Español
Non-invertible — Matrice inversible En mathématiques et plus particulièrement en algèbre linéaire, une matrice carrée A d ordre n est dite inversible ou régulière ou encore non singulière, s il existe une matrice B d ordre n telle que AB = BA = In, ( AB = In… … Wikipédia en Français
Inverse element — In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication. The intuition is of an element that can undo the effect of combination with… … Wikipedia
Cancellation property — In mathematics, the notion of cancellative is a generalization of the notion of invertible. An element a in a magma (M,*) has the left cancellation property (or is left cancellative) if for all b and c in M, a * b = a * c… … Wikipedia
Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… … Wikipedia
Monomorphism — This page is about the mathematical term. For other uses, see Monomorphic (disambiguation) or Polymorphism (disambiguation). In the context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism. A monomorphism from … Wikipedia
Bijection, injection and surjection — In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each… … Wikipedia
Inverse function — In mathematics, if fnof; is a function from A to B then an inverse function for fnof; is a function in the opposite direction, from B to A , with the property that a round trip (a composition) from A to B to A (or from B to A to B ) returns each… … Wikipedia
Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… … Wikipedia
Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… … Wikipedia