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Linear Algebra

Educator Edition

Contributor
University of California, Davis
Course
Linear Algebra. Suitable for a sophomore level linear algebra course taught in about twenty-five lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. Our goal in writing it was to produce students who can perform computations with linear systems and also understand the concepts behind these computation.
TextbookLinear Algebra, by David Cherney, Tom Denton, Rohit Thomas, and Andrew Waldon

For more information on this course, visit www.math.ucdavis.edu/~linear.

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This problem series includes WeBWorK-enhanced problems. WeBWorK problems are highly sophisticated, supporting the representation and manipulation of mathematical objects such as vectors, points, matrices, intervals, and complex numbers, with customizable answer checkers. Students are encouraged to make multiple attempts until they succeed, and given immediate feedback on correctness.

Edfinity provides full access to the WeBWorK Open Public Library (OPL), a collection of over 20,000 rich, interactive problems across a wide range of math and science subjects, including college algebra, discrete mathematics, probability and statistics, single and multivariable calculus, differential equations, linear algebra and complex analysis.

Problem Sets

  1. Demo
  2. Orientation
  3. Webwork Intro-Optional
  4. Background
  5. What Is Linear Algebra
  6. Systems Of Linear Equations
  7. Vectors In Space
  8. Vector Spaces
  9. Linear Transformations
  10. Matrices
  11. Determinants
  12. Subspaces And Spans
  13. Linear Independence
  14. Basis And Dimension
  15. Eigenvalues And Eigenvectors
  16. Diagonalization
  17. Orthonormal Bases
  18. Diagonalizing Symmetric Matrices
  19. Kernel Range Nullity Rank
  20. Least Squares

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