Exterior algebra and Linear combination

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Exterior algebra and Linear combination

Exterior algebra vs. Linear combination

In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogs. In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).

Addison-Wesley

Addison-Wesley is a publisher of textbooks and computer literature.

Addison-Wesley and Exterior algebra · Addison-Wesley and Linear combination · See more »

Basis (linear algebra)

In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.

Basis (linear algebra) and Exterior algebra · Basis (linear algebra) and Linear combination · See more »

Commutative ring

In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative.

Commutative ring and Exterior algebra · Commutative ring and Linear combination · See more »

Direct sum of modules

In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module.

Direct sum of modules and Exterior algebra · Direct sum of modules and Linear combination · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Euclidean space and Exterior algebra · Euclidean space and Linear combination · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Exterior algebra and Field (mathematics) · Field (mathematics) and Linear combination · See more »

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

Exterior algebra and Linear algebra · Linear algebra and Linear combination · See more »

Linear independence

In the theory of vector spaces, a set of vectors is said to be if one of the vectors in the set can be defined as a linear combination of the others; if no vector in the set can be written in this way, then the vectors are said to be.

Exterior algebra and Linear independence · Linear combination and Linear independence · See more »

Linear span

In linear algebra, the linear span (also called the linear hull or just span) of a set of vectors in a vector space is the intersection of all subspaces containing that set.

Exterior algebra and Linear span · Linear combination and Linear span · See more »

Linear subspace

In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space.

Exterior algebra and Linear subspace · Linear combination and Linear subspace · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Exterior algebra and Mathematics · Linear combination and Mathematics · See more »

Module (mathematics)

In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.

Exterior algebra and Module (mathematics) · Linear combination and Module (mathematics) · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Exterior algebra and Springer Science+Business Media · Linear combination and Springer Science+Business Media · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Exterior algebra and Vector space · Linear combination and Vector space · See more »