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(eBook PDF) Linear Algebra and Its Applications 4th Edition

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Product details:

  • ISBN: 0321385179
  • ISBN-13: 9780321385178
  • Author: David C Lay
Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students’ understanding of these concepts is vital to their mastery of the subject. David Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text so that when discussed in the abstract, these concepts are more accessible.

Table contents:

1. Linear Equations in Linear Algebra Introductory Example: Linear Models in Economics and Engineering

2. Matrix Algebra Introductory Example: Computer Models in Aircraft Design

3. Determinants Introductory Example: Random Paths and Distortion

4. Vector Spaces Introductory Example: Space Flight and Control Systems

5. Eigenvalues and Eigenvectors Introductory Example: Dynamical Systems and Spotted Owls

6. Orthogonality and Least Squares Introductory Example: Readjusting the North American Datum

7. Symmetric Matrices and Quadratic Forms Introductory Example: Multichannel Image Processing

8. The Geometry of Vector Spaces Introductory Example: The Platonic Solids

9. Optimization (Online Only) Introductory Example: The Berlin Airlift

10. Finite-State Markov Chains (Online Only) Introductory Example: Google and Markov Chains

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