# Linear Algebra

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Related to Linear Algebra: matrix algebra

## linear algebra

[′lin·ē·ər ′al·jə·brə]
(mathematics)
The study of vector spaces and linear transformations.

## Linear Algebra

the part of algebra that is most important for applications. The theory of linear equations was the first problem to arise that pertained to linear algebra. The development of the theory led to the creation of the theory of determinants and subsequently to the theory of matrices and the related theories of vector spaces and linear transformations in them. Linear algebra also encompasses the theory of forms, in particular quadratic forms, and, in part, the theory of invariants and the tensor calculus. Some branches of functional analysis constitute a further development of corresponding problems of linear algebra associated with the passage from n-dimensional vector spaces to infinite-dimensional linear spaces.

### REFERENCES

Aleksandrov, P. S. Lektsii po analiticheskoi geometrii .... Moscow, 1968.
Kurosh, A. G. Kurs vysshei algebry, 9th ed. Moscow, 1968.
Mal’tsev, A. I. Osnovy lineinoi algebry, 3rd ed. Moscow, 1970.
References in periodicals archive ?
An ICMI study of linear algebra at university level, ref.
Brestcher, Linear Algebra with Applications, Third edition, Pearson Prentice Hall, 2005.
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Students are expected to have prior knowledge of the familiar tools of mathematical physics, such as linear algebra and complex analysis, and a good background in classical and quantum mechanics.
It contains computational arrays for linear algebra and matrix computations.
Twelve linear algebra students were interviewed about the concept of a Solution of a System of Equations.
Derive 5 college software does for the higher math of algebra, trigonometry, calculus and linear algebra what the scientific calculator did for arithmetic.

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