Modern matrix algebra
著者
書誌事項
Modern matrix algebra
Prentice Hall, c2001
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注記
Includes index
内容説明・目次
内容説明
For one-term, sophomore-level courses in Introductory Linear Algebra.
This text presents the basic ideas of matrix and linear algebra in such a way that students from diverse majors (who have had some exposure to calculus) will find this text very clear. Both algebraic and geometric reasoning are featured throughout. A spiral approach gradually introduces the abstract foundations of the topics involved-linear combination, closure, subspaces, linear independence/dependence, and bases. Opportunities for a variety of applications, and the optional use of MATLAB, provide hands-on explorations of computations and concepts.
目次
List of Applications.
1. Matrices and Matrix Algebra.
2. Linear Systems and Their Solution.
3. The Determinant, a Geometric Approach.
4. Eigen Information.
5. Vector Spaces.
6. Inner Product Spaces.
7. Linear Transformations.
8. MATLAB.
Appendix I: Complex Numbers.
Appendix II: Summation Numbers.
Answers/Solutions to Selected Exercises.
Index.
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