Linear algebra. (Q2761015)
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scientific article; zbMATH DE number 1682878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear algebra. |
scientific article; zbMATH DE number 1682878 |
Statements
17 December 2001
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module
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vector spaces
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module morphisms
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determinants
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systems of linear equations
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inductive and projective limits
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tensor product
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free modules
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invertible matrix
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Linear algebra. (English)
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Divided in two chapters and 10 paragraphs, this booklet presents the most important results of linear algebra according to the following contents: NEWLINENEWLINENEWLINE1. Modules and vector spaces: Module, Module morphisms, Products and direct sums in Mods(A), Inductive and projective limits in Mods(A), Essential and superfluous submodules, Tensor product of modules, Free modules of finite rank. NEWLINENEWLINENEWLINE2. Determinants and systems of linear equations: Definition of a determinant of order n, Invertible matrix, Systems of linear equations over a commutative field. NEWLINENEWLINENEWLINEThe treatment is rigorous and the style is sober and precise. All the results are accompanied by proofs, and often by pertinent remarks and/or illustrative examples. The intended audience is the advanced undergraduate and graduate students in mathematics and it may also be a background documentary source for system theorists.
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