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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Bibliographic Details
Main Authors: Cherney, David (Author), Denton, Tom (Author), Waldon, Andrew K. (Author)
Format: Electronic eBook
Language:English
Published: Davis, California University of California, Davis [2016]
Series:Open textbook library.
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