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Introduction to Linear Algebra and the Theory of Matrices by Hans Schwerdtfeger is a nonfiction available to read on EtoBox.
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Title Preface Contents Introduction Chapter I. Geometrical Foundations - Systems of Linear Equations § 1. The Number Space § 2. Linear Dependence of Points in Number Space § 3. The Replacement Procedure. The Theorem of Grassmann and Steinitz § 4. Linear Equations - Rank of a Matrix § 5. A Matrix composed of Rows — Transposition § 6. Geometrical Interpretation. Parallel Manifolds § 7. Determinants § 8. Determinants and the Solution of Linear Systems § 9. Determinants and the Rank of Matrices Chapter II. Linear Homogeneous Transformations. Rational Operations on Matrices § 10. Substitutions and Transformations § 11. Linear Homogeneous Transformations and their Matrices § 12. The Formal Laws of Matrix Algebra § 13. Regular and Singular Matrices § 14. Fields. Complex and hypercomplex Numbers Chapter III. Equivalence, Congruence, Bilinear and Quadratic Forms § 15. Elementary Transformations of a Matrix § 16. Equivalence § 17. Bilinear and Quadratic Forms. Congruence § 18. Symmetric Matrices with Complex Elements § 19. Real Symmetric Matrices. Law of Inertia § 20. Hermitean Matrices and Hermitean Forms § 21. Skew-symmetric Matrices Chapter IV. Groups of Matrices. Similarity § 22. The Not
Who reads Introduction to Linear Algebra and the Theory of Matrices?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Hans Schwerdtfeger
- Publisher
- P. Nordhoff N.V.
- Published
- 1961
- Language
- EN
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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