rank of a matrix
11Rank (graph theory) — In graph theory, a branch of mathematics, the rank of an undirected graph is defined as the number n − c, where n is the number of vertices and c is the number of connected components of the graph. Equivalently, the rank of a graph is the rank of …
12Matrix 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 …
13Matrix determinant lemma — In mathematics, in particular linear algebra, the matrix determinant lemma[1][2] computes the determinant of the sum of an invertible matrix A and the dyadic product, u vT, of a column vector u and a row vector vT. Contents 1 Statemen …
14Matrix 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… …
15rank — rank1 rankless, adj. /rangk/, n. 1. a number of persons forming a separate class in a social hierarchy or in any graded body. 2. a social or official position or standing, as in the armed forces: the rank of captain. 3. high position or station… …
16rank — rank1 noun 1》 a position within a fixed hierarchy, especially that of the armed forces. 2》 high social standing. 3》 a single line of soldiers or police officers drawn up abreast. ↘a regular row or line of things or people. 4》 (the ranks) (in… …
17Matrix of Domination — The Matrix of Domination is a sociological theory that explains issues of oppression that deal with race, class, and gender, which, though recognized as different social classifications, are all interconnected. Other forms of classification, such …
18Matrix equivalence — In linear algebra, two rectangular m by n matrices A and B are called equivalent if for some invertible n by n matrix P and some invertible m by m matrix Q. Equivalent matrices represent the same linear transformation V → W under two… …
19rank — I. adjective Etymology: Middle English, from Old English ranc overbearing, strong; akin to Old Norse rakkr erect and perhaps to Old English riht right more at right Date: 13th century 1. luxuriantly or excessively vigorous in growth 2.… …
20Nonnegative rank (linear algebra) — In linear algebra, the nonnegative rank of a nonnegative matrix is a concept similar to the usual linear rank of a real matrix, but adding the requirement that certain coefficients and entries of vectors/matrices have to be nonnegative. For… …
