Linear Algebra
We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple tim...
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Main Authors: | , , |
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Format: | Electronic eBook |
Language: | English |
Published: |
Davis, California
University of California, Davis
[2016]
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Series: | Open textbook library.
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Subjects: | |
Online Access: | Access online version |
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Table of Contents:
- 1 What is Linear Algebra?
- 2 Systems of Linear Equations
- 3 The Simplex Method
- 4 Vectors in Space, n-Vectors
- 5 Vector Spaces
- 6 Linear Transformations
- 7 Matrices
- 8 Determinants
- 9 Subspaces and Spanning Sets
- 10 Linear Independence
- 11 Basis and Dimension
- 12 Eigenvalues and Eigenvectors
- 13 Diagonalization
- 14 Orthonormal Bases and Complements
- 15 Diagonalizing Symmetric Matrices
- 16 Kernel, Range, Nullity, Rank
- 17 Least squares and Singular Values