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MTH 309 Introduction to Linear Algebra

University at Buffalo via Independent


This course provides an introduction to linear algebra, a major area of mathematics with a lot of applications to computer science, engineering, data analysis, business etc. Several such applications will be demonstrated during the course.


  • Systems of linear equations
  • Vectors and vector equations
  • Linear independence and span of vectors
  • Matrices and linear transformations
  • Matrix algebra
  • Determinants
  • Eigenvalues and eigenvectors
  • Abstract vector spaces
  • Inner products
  • Linear regression
  • Singular value decomposition

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