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the identity matrix

См. также в других словарях:

  • Identity matrix — In linear algebra, the identity matrix or unit matrix of size n is the n by n square matrix with ones on the main diagonal and zeros elsewhere. It is denoted by I n , or simply by I if the size is immaterial or can be trivially determined by the… …   Wikipedia

  • identity matrix — noun a scalar matrix in which all of the diagonal elements are unity • Syn: ↑unit matrix • Hypernyms: ↑scalar matrix …   Useful english dictionary

  • identity matrix — noun A diagonal matrix all of the diagonal elements of which are equal to 1. Syn: unit matrix …   Wiktionary

  • identity matrix — noun Date: circa 1929 a square matrix that has numeral 1 s along the principal diagonal and 0 s elsewhere …   New Collegiate Dictionary

  • identity matrix — Math. a matrix that has 1 in each position on the main diagonal and 0 in all other positions. [1940 45] * * * …   Universalium

  • Matrix multiplication — In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. If A is an n by m matrix and B is an m by p matrix, the result AB of their multiplication is an n by p matrix defined only if… …   Wikipedia

  • 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

  • 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

  • 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

  • Matrix of ones — In mathematics, a matrix of ones is a matrix where every element is equal to one. Examples of standard notation are given below: In special contexts, the term unit matrix is used as a synonym for matrix of ones [1] This is done whenever it is… …   Wikipedia

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