Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Matrix_multiplication> ?p ?o. }
Showing items 1 to 45 of
45
with 100 items per page.
- Matrix_multiplication abstract "In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. Numbers such as the real or complex numbers can be multiplied according to elementary arithmetic. On the other hand, matrices are arrays of numbers, so there is no unique way to define "the" multiplication of matrices. As such, in general the term "matrix multiplication" refers to a number of different ways to multiply matrices. The key features of any matrix multiplication include: the number of rows and columns the original matrices have (called the "size", "order" or "dimension"), and specifying how the entries of the matrices generate the new matrix.Like vectors, matrices of any size can be multiplied by scalars, which amounts to multiplying every entry of the matrix by the same number. Similar to the entrywise definition of adding or subtracting matrices, multiplication of two matrices of the same size can be defined by multiplying the corresponding entries, and this is known as the Hadamard product. Another definition is the Kronecker product of two matrices, to obtain a block matrix.One can form many other definitions. However, the most useful definition can be motivated by linear equations and linear transformations on vectors, which have numerous applications in applied mathematics, physics, and engineering. This definition is often called the matrix product. In words, if A is an n × m matrix and B is a m × p matrix, their matrix product AB is an n × p matrix, in which the m entries across the rows of A are multiplied with the m entries down the columns of B (the precise definition is below).This definition is not commutative, although it still retains the associative property and is distributive over entrywise addition of matrices. The identity element of the matrix product is the identity matrix (analogous to multiplying numbers by 1), and a square matrix may have an inverse matrix (analogous to the multiplicative inverse of a number). A consequence of the matrix product is determinant multiplicativity. The matrix product is an important operation in linear transformations, matrix groups, and the theory of group representations and irreps. For large matrices and/or products of more than two matrices, this matrix product can be very time consuming to calculate, so more efficient algorithms to compute the matrix product than the mathematical definition have been developed.This article will use the following notational conventions: matrices are represented by capital letters in bold, e.g. A, vectors in lowercase bold, e.g. a, and entries of vectors and matrices are italic (since they are scalars), e.g. A and a. Index notation is often the clearest way to express definitions, and will be used as standard in the literature. The i, j entry of matrix A is indicated by (A)ij or Aij, whereas a numerical label (not matrix entries) on a collection of matrices is subscripted only, e.g. A1, A2, etc.".
- Matrix_multiplication wikiPageExternalLink TOP.
- Matrix_multiplication wikiPageExternalLink en_tool~linear~matmult.html.
- Matrix_multiplication wikiPageExternalLink Ateji%20PX%20MatMult%20Whitepaper%20v1.2.pdf?phpMyAdmin=95wsvAC1wsqrAq3j,M3duZU3UJ7.
- Matrix_multiplication wikiPageExternalLink matrixmult-f.pdf.
- Matrix_multiplication wikiPageExternalLink post1428830.
- Matrix_multiplication wikiPageExternalLink MatrixMultiplication.html.
- Matrix_multiplication wikiPageExternalLink matrix-multiplying.html.
- Matrix_multiplication wikiPageExternalLink 174.pdf.
- Matrix_multiplication wikiPageExternalLink en.
- Matrix_multiplication wikiPageExternalLink Visual_Matrix_Multiplication.
- Matrix_multiplication wikiPageID "125280".
- Matrix_multiplication wikiPageRevisionID "606584012".
- Matrix_multiplication hasPhotoCollection Matrix_multiplication.
- Matrix_multiplication subject Category:Bilinear_operators.
- Matrix_multiplication subject Category:Binary_operations.
- Matrix_multiplication subject Category:Matrix_theory.
- Matrix_multiplication subject Category:Multiplication.
- Matrix_multiplication subject Category:Numerical_linear_algebra.
- Matrix_multiplication comment "In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. Numbers such as the real or complex numbers can be multiplied according to elementary arithmetic. On the other hand, matrices are arrays of numbers, so there is no unique way to define "the" multiplication of matrices. As such, in general the term "matrix multiplication" refers to a number of different ways to multiply matrices.".
- Matrix_multiplication label "Matrix multiplication".
- Matrix_multiplication label "Matrixvermenigvuldiging".
- Matrix_multiplication label "Matrizenmultiplikation".
- Matrix_multiplication label "Mnożenie macierzy".
- Matrix_multiplication label "Moltiplicazione di matrici".
- Matrix_multiplication label "Multiplicación de matrices".
- Matrix_multiplication label "Produit matriciel".
- Matrix_multiplication label "Produto de matrizes".
- Matrix_multiplication label "Умножение матриц".
- Matrix_multiplication label "ضرب المصفوفات".
- Matrix_multiplication label "矩陣乘法".
- Matrix_multiplication sameAs Násobení_matic.
- Matrix_multiplication sameAs Matrizenmultiplikation.
- Matrix_multiplication sameAs Multiplicación_de_matrices.
- Matrix_multiplication sameAs Produit_matriciel.
- Matrix_multiplication sameAs Moltiplicazione_di_matrici.
- Matrix_multiplication sameAs 행렬_곱셈.
- Matrix_multiplication sameAs Matrixvermenigvuldiging.
- Matrix_multiplication sameAs Mnożenie_macierzy.
- Matrix_multiplication sameAs Produto_de_matrizes.
- Matrix_multiplication sameAs m.0xnlr.
- Matrix_multiplication sameAs Q1049914.
- Matrix_multiplication sameAs Q1049914.
- Matrix_multiplication wasDerivedFrom Matrix_multiplication?oldid=606584012.
- Matrix_multiplication isPrimaryTopicOf Matrix_multiplication.