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Exploring Linear Algebra : Labs and Projects with MATLAB®.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Milton :
Chapman and Hall/CRC,
2019.
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| Colección: | Textbooks in Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half Title; Series Page; Title Page; Copyright Page; Contents; Preface; Acknowledgments; 1 Matrix Operations; Lab 0: An Introduction to MATLAB®; Lab 1: Matrix Basics and Operations; Lab 2: A Matrix Representation of Linear Systems; Lab 3: Powers, Inverses, and Special Matrices; Lab 4: Graph Theory and Adjacency Matrices; Lab 5: Permutations and Determinants; Lab 6: 4 × 4 Determinants and Beyond; Project Set 1; 2 Invertibility; Lab 7: Singular or Nonsingular? Why Singularity Matters; Lab 8: Mod It Out, Matrices with Entries in Zp; Lab 9: It's a Complex World
- Lab 10: Declaring Independence: Is It Linear?Project Set 2; 3 Vector Spaces; Lab 11: Vector Spaces and Subspaces; Lab 12: Basing It All on Just a Few Vectors; Lab 13: Linear Transformations; Lab 14: Eigenvalues and Eigenspaces; Lab 15: Markov Chains: An Application of Eigenvalues; Project Set 3; 4 Orthogonality; Lab 16: Inner Product Spaces; Lab 17: The Geometry of Vector and Inner Product Spaces; Lab 18: Orthogonal Matrices, QR Decomposition, and Least Squares Regression; Lab 19: Symmetric Matrices and Quadratic Forms; Project Set 4; 5 Matrix Decomposition with Applications
- Lab 20: Singular Value Decomposition (SVD)Lab 21: Cholesky Decomposition and Its Application to Statistics; Lab 22: Jordan Canonical Form; Project Set 5; 6 Applications to Differential Equations; Lab 23: Linear Differential Equations; Lab 24: Higher-Order Linear Differential Equations; Lab 25: Phase Portraits, Using the Jacobian Matrix to Look Closer at Equilibria; Project Set 6; MATLAB Demonstrations and References; Index