
- 611 pages
- English
- PDF
- Available on iOS & Android
Elementary Linear Algebra
About this book
Elementary Linear Algebra 12th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
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Key takeaways
Apply systematic methods, such as Gaussian elimination and matrix inversion, to solve systems of linear equations and perform fundamental matrix operations.
Analyze the structure of Euclidean and general vector spaces by identifying linear independence, spanning sets, bases, and dimensions, and by determining orthogonality.
Utilize eigenvalues and eigenvectors for matrix diagonalization and apply linear algebraic techniques to model and solve problems in diverse fields, including dynamical systems, optimization, and data compression.
Information
Table of contents
- Cover
- Applications and Historical Topics
- Title Page
- Copyright
- About the Authors
- Preface
- Contents
- 1: Systems of Linear Equations and Matrices
- 2: Determinants
- 3: Euclidean Vector Spaces
- 4: General Vector Spaces
- 5: Eigenvalues and Eigenvectors
- 6: Inner Product Spaces
- 7: Diagonalization and Quadratic Forms
- 8: General Linear Transformations
- 9: Numerical Methods
- Appendix A: Working with Proofs
- Appendix B: Complex Numbers
- Answers to Exercises
- Index
- EULA
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