rank of a determinant
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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
Rank (linear algebra) — The column rank of a matrix A is the maximum number of linearly independent column vectors of A. The row rank of a matrix A is the maximum number of linearly independent row vectors of A. Equivalently, the column rank of A is the dimension of the … Wikipedia
rank — 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… … Universalium
rank — 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… … English new terms dictionary
rank of a matrix — the order of the nonzero determinant of highest order that may be formed from the elements of a matrix by selecting arbitrarily an equal number of rows and columns from it … Useful english dictionary
determinant rank — Math. rank1 (def. 14). * * * … Universalium
determinant rank — Math. rank1 (def. 14) … Useful english dictionary
Matrix 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 … Wikipedia
dietary law — Judaism. law dealing with foods permitted to be eaten, food preparation and combinations, and the utensils and dishes coming into contact with food. Cf. kashruth. [1925 30] * * * ▪ religion Introduction any of the prescriptions as to what… … Universalium
Dynkin diagram — See also: Coxeter–Dynkin diagram Finite Dynkin diagrams Affine (extended) Dynkin diagrams … Wikipedia
