## Linear Algebra

**Linear algebra** is the branch of mathematics concerning vector spaces, often finite or countably infinite dimensional, as well as linear mappings between such spaces. Such an investigation is initially motivated by a system of linear equations in several unknowns. Such equations are naturally represented using the formalism of matrices and vectors.

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### Some articles on linear algebra:

**Linear Algebra**- Generalizations and Related Topics

... Since

**linear algebra**is a successful theory, its methods have been developed and generalized in other parts of mathematics ... The concepts of

**linear**independence, span, basis, and dimension (which is called rank in module theory) still make sense ... Nevertheless, many theorems from

**linear algebra**become false in module theory ...

List Of Numerical Libraries - Java

... It has numerical packages for

... It has numerical packages for

**linear algebra**and non-**linear**optimization ... Efficient Java Matrix Library (EJML) is an open-source**linear algebra**library for manipulating dense matrices ... JAMA, a numerical**linear algebra**toolkit for the Java programming language ...Armadillo (C++ Library)

... The Armadillo C++ Library aims to provide an efficient and streamlined base for

... The Armadillo C++ Library aims to provide an efficient and streamlined base for

**linear algebra**operations (matrix maths), while at the same time having a straightforward and easy to use interface ... Various matrix decompositions are provided through optional integration with**Linear Algebra**PACKage (LAPACK) and Automatically Tuned**Linear Algebra**Software (ATLAS) libraries ... Due to its approach, Armadillo is related to the Boost Basic**Linear Algebra**Subprograms (uBLAS) library, but has a more accessible syntax ...List Of Numerical Libraries - .NET Framework Languages C#, F# and VB.NET

... numerical array classes and functions for general math, FFT and

... numerical array classes and functions for general math, FFT and

**linear algebra**, aims.NET/mono, 64 ... bit, script-like syntax in C#, 2D 3D plot controls, efficient memory management IMSL ... for the.NET platform, including signal processing (FFT) classes, a**linear algebra**(LAPACK BLAS) framework, and a statistics package ... is a large collection of numerical algorithms including**linear algebra**, (advanced) optimization, interpolation, Markov model, principal component analysis, time series analysis, hypothesis testing ...Super

... Similarly as in the theory of other algebraic structures,

**Linear Algebra**- Scope of Study - Linear Transformations... Similarly as in the theory of other algebraic structures,

**linear algebra**studies mappings between vector spaces that preserve the vector-space structure ... Given two vector spaces V and W over a field F, a**linear**transformation (also called**linear**map,**linear**mapping or**linear**operator) is a map that is compatible with addition and scalar ... When a bijective**linear**mapping exists between two vector spaces (that is, every vector from the second space is associated with exactly one in the first), we say that the two spaces are ...### Famous quotes containing the word algebra:

“Poetry has become the higher *algebra* of metaphors.”

—José Ortega Y Gasset (1883–1955)

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