In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns...
15 KB (2,716 words) - 15:52, 1 November 2023
In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal number...
29 KB (4,390 words) - 09:07, 22 March 2024
is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector...
5 KB (377 words) - 12:12, 30 October 2023
In mathematics, a linear algebraic group is a subgroup of the group of invertible n × n {\displaystyle n\times n} matrices (under matrix multiplication)...
41 KB (6,000 words) - 20:12, 10 January 2024
Minor (linear algebra), the determinant of a square submatrix Minor (given name), a masculine given name Minor (surname), a surname Asia Minor, the westernmost...
2 KB (311 words) - 05:11, 9 August 2024
group and that of the subgroup Cofactor (linear algebra), the signed minor of a matrix Minor (linear algebra), an alternative name for the determinant...
693 bytes (129 words) - 08:04, 29 May 2023
In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...
76 KB (12,096 words) - 15:19, 19 August 2024
jth exterior power of M k . {\displaystyle M_{k}.} From Minor_(linear_algebra)#Multilinear_algebra_approach, we know that the entries in the matrix expansion...
8 KB (1,590 words) - 16:41, 21 April 2024
semisimple Lie algebra is a linear Lie algebra under the adjoint representation. This may lead to some ambiguity, as every Lie algebra is already linear with respect...
41 KB (5,731 words) - 17:17, 10 April 2024
Matrix (mathematics) (section Linear equations)
article focuses on matrices related to linear algebra, and, unless otherwise specified, all matrices represent linear maps or may be viewed as such. Square...
106 KB (13,107 words) - 02:49, 27 August 2024