In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the part of the domain which is mapped to the zero vector of...
24 KB (3,711 words) - 08:11, 1 August 2024
In algebra, the kernel of a homomorphism (function that preserves the structure) is generally the inverse image of 0 (except for groups whose operation...
18 KB (2,553 words) - 09:07, 5 May 2024
Basic Linear Algebra Subprograms (BLAS) is a specification that prescribes a set of low-level routines for performing common linear algebra operations...
36 KB (3,905 words) - 12:44, 17 March 2024
system Kernel (algebra), a general concept that includes: Kernel (linear algebra) or null space, a set of vectors mapped to the zero vector Kernel (category...
3 KB (373 words) - 21:30, 29 June 2024
In linear algebra and functional analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism)...
34 KB (5,793 words) - 13:01, 13 August 2024
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
Linear algebra is the branch of mathematics concerning linear equations such as: a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...
64 KB (7,780 words) - 04:31, 11 August 2024
In linear algebra, the trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the...
36 KB (5,385 words) - 17:42, 20 July 2024
specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function)...
43 KB (7,001 words) - 21:10, 13 July 2024
Rank–nullity theorem (redirect from Fundamental theorem of linear algebra)
The rank–nullity theorem is a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity...
18 KB (3,066 words) - 16:26, 18 April 2024