Definition of Linear algebra

1. Noun. The part of algebra that deals with the theory of linear equations and linear transformation.

Category relationships: Math, Mathematics, Maths
Generic synonyms: Algebra

Definition of Linear algebra

1. Noun. (mathematics) The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations. ¹

2. Noun. (linear algebra) An algebra over a field. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Linear Algebra

lineage
lineages
lineaging
lineal
linealities
lineality
lineally
lineament
lineamental
lineaments
linear
linear absorption coefficient
linear acceleration
linear accelerator
linear algebra (current term)
linear algebraic
linear amputation
linear atrophy
linear combination
linear combinations
linear dependence
linear dichroism
linear energy transfer
linear equation
linear equations
linear fracture
linear function
linear functional

Literary usage of Linear algebra

Below you will find example usage of this term as found in modern and/or classical literature:

1. Synopsis of Linear Associative Algebra: A Report on Its Natural Development by James Byrnie Shaw (1907)
"The other regards the number in a linear algebra as a single entity, and multiplex only in that an equality between two such numbers implies n equalities ..."

2. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, Literature and (1910)
"Quaternions afford an example of a quadruple algebra of this kind; ordinary algebra is a special case of a duplex linear algebra. ..."

3. Geometric Computing Science: First Steps by Robert Hermann (1991)
"A RIEMANNIAN - GEOMETRIC POINT OF VIEW IN linear algebra NUMERICAL ANALYSIS. ... Given ge 0, a basic problem of numerical linear algebra is to find an ..."

4. Linear Associative Algebra by Benjamin Peirce (1882)
"Some definite interpretation of a linear algebra would, at first sight, appear indispensable to its successful application. But on the contrary, ..."

5. Convex Optimization & Euclidean Distance Geometry by Jon Dattorro (2005)
"Appendix A linear algebra AI Main-diagonal 8 operator, trace, vec We introduce notation 6 denoting the main-diagonal linear self-adjoint operator. ..."

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