Title Statements
- Full title :Linear algebra / Georgi E. Shilov.
Edition Statements
- Publication Date:1977.
- Edition:Rev. English ed
Publication Statements
- Publisher(s):Dover Publications
- Place of Publication:New York
- Language:eng
- Publication Date:1977.
Notes
Original ed. published by Prentice-Hall, Englewood Cliffs, N.J.
The Physical Object
- Description:1 online resource (xi, 387 pages) : : graphs
Edition Identifiers
- ISBN:9781621985839, 1621985830
- oclc:ocn644278940
- LC Classification:QA184
- Dewey Decimal:512/.5
Table of Contents
Machine derived contents note: chapter 1 -- Determinants -- 1.1. Number Fields -- 1.2. Problems of the Theory of Systems of Linear Equations -- 1.3. Determinants of Order n -- 1.4. Properties of Determinants -- 1.5. Cofactors and Minors -- 1.6. Practical Evaluation of Determinants -- 1.7. Cramer's Rule -- 1.8. Minors of Arbitrary Order. Laplace's Theorem -- 1.9. Linear Dependence between Columns -- Problems -- chapter 2 -- Linear Spaces -- 2.1. Definitions -- 2.2. Linear Dependence -- 2.3. "Bases, Components, Dimension" -- 2.4. Subspaces -- 2.5. Linear Manifolds -- 2.6. Hyperplanes -- 2.7. Morphisms of Linear Spaces -- Problems -- chapter 3 -- Systems Of Linear Equations -- 3.1. More on the Rank of a Matrix -- 3.2. Nontrivial Compatibility of a Homogeneous Linear System -- 3.3. The Compatability Condition for a General Linear System -- 3.4. The General Solution of a Linear System -- 3.5. Geometric Properties of the Solution Space -- 3.6. Methods for Calculating the Rank of a Matrix -- Problems -- chapter 4 -- Linear Functions Of A Vector Argument -- 4.1. Linear Forms -- 4.2. Linear Operators -- 4.3. Sums and Products of Linear Operators -- 4.4. Corresponding Operations on Matrices…
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