
- 803 pages
- English
- PDF
- Available on iOS & Android
Elementary Linear Algebra
About this book
Elementary Linear Algebra: Applications Version, 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 fundamental techniques such as Gaussian elimination and matrix operations to solve systems of linear equations and analyze their properties.
Analyze the structure of vector spaces, including concepts of basis, dimension, and orthogonality, and interpret the effects of linear transformations on these spaces.
Utilize eigenvalues, eigenvectors, and diagonalization techniques to solve problems in areas such as differential equations, dynamical systems, and various real-world applications.
Information
Table of contents
- Cover
- 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
- 10: Applications of Linear Algebra
- APPENDIX A: Working with Proofs
- APPENDIX B: Complex Numbers
- Answers to Exercises
- Index
- Applications and Historical Topics
- EULA
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