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MATH 240-3: Algebra I: Linear Algebra, Spring 2016

Lectures MWF at 11:30-12:20 in AQ 3154

Content

  • Chapter 1 Linear Equations in Linear Algebra.
  • Chapter 2 Matrix Algebra.
  • Chapter 3 Determinants.
  • Chapter 4 Vector Spaces.
  • Chapter 5 Eigenvalues and Eigenvectors.
  • Chapter 6 Orthogonality.
  • Appendix B Complex Numbers.

Applications

  • 1 Different bases for vector spaces: polynomial interpolation.
  • 2 Markov (stochastic) matrices: internet page ranking algorithms.
  • 3 Eigenvalues and eigenvectors: the Leslie population age distribution model.
  • 4 Orthogonal projection: Least Squares approximation.

Text

Linear Algebra and its Applications 5th edition, by David Lay.

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