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...

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...

is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector...

Minor (linear algebra), the determinant of a square submatrix Minor (given name), a masculine given name Minor (surname), a surname Asia Minor, the westernmost...

In mathematics, a linear algebraic group is a subgroup of the group of invertible n × n {\displaystyle n\times n} matrices (under matrix multiplication)...

group and that of the subgroup Cofactor (linear algebra), the signed minor of a matrix Minor (linear algebra), an alternative name for the determinant...

In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...

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...

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...

In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular, nondegenerate or rarely regular) if there exists an n-by-n square...

In linear algebra, an eigenvector (/ˈaɪɡən-/ EYE-gən-) or characteristic vector is a vector that has its direction unchanged by a given linear transformation...

V\otimes V} to itself induces a linear automorphism that is called a braiding map. More generally and as usual (see tensor algebra), let V ⊗ n {\displaystyle...

Campbell, H: "Linear Algebra With Applications", pages 111–112. Appleton Century Crofts, 1971 Eves 1990, p. 405 A Brief History of Linear Algebra and Matrix...

linear algebra, a principal axis is a certain line in a Euclidean space associated with an ellipsoid or hyperboloid, generalizing the major and minor...

article focuses on matrices related to linear algebra, and, unless otherwise specified, all matrices represent linear maps or may be viewed as such. Square...

In linear algebra, a Householder transformation (also known as a Householder reflection or elementary reflector) is a linear transformation that describes...

algebra (also known as a Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is...

are closely related to the group of rational points of a reductive linear algebraic group with values in a finite field. The phrase group of Lie type does...

a reductive group is a type of linear algebraic group over a field. One definition is that a connected linear algebraic group G over a perfect field is...

In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues...

(March–April 1989). "Sufficient matrices and the linear complementarity problem". Linear Algebra and Its Applications. 114–115: 231–249. doi:10...

finite-dimensional real Lie algebra is isomorphic to a matrix Lie algebra. Meanwhile, for every finite-dimensional matrix Lie algebra, there is a linear group (matrix...

matrix Tridiagonal matrix Invariant subspace Axler, Sheldon Jay (1997). Linear Algebra Done Right (2nd ed.). New York: Springer. pp. 86–87, 169. ISBN 0-387-22595-1...

In linear algebra, a linear relation, or simply relation, between elements of a vector space or a module is a linear equation that has these elements...

In linear algebra, a QR decomposition, also known as a QR factorization or QU factorization, is a decomposition of a matrix A into a product A = QR of...

In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite...

lattice. Matroid theory borrows extensively from the terms used in both linear algebra and graph theory, largely because it is the abstraction of various notions...

In linear algebra, a generalized eigenvector of an n × n {\displaystyle n\times n} matrix A {\displaystyle A} is a vector which satisfies certain criteria...

In linear algebra, the main diagonal (sometimes principal diagonal, primary diagonal, leading diagonal, major diagonal, or good diagonal) of a matrix A...

exist algebraic matroids that are not linear; indeed the non-Pappus matroid is algebraic over any finite field, but not linear and not algebraic over any...