Elementary Linear Algebra

Elementary Linear Algebra

Elementary Linear Algebra, by Keith Matthews, is an introduction to linear algebra, based on lectures given by the author over 17 years, in the (now defunct) first year course MP103 at the University of Queensland.


Students are encouraged to try the problems, which range from the mechanical to the more subtle, the latter demanding a greater level of interaction from the student. The section on subspaces is meant to be a gentle introduction to the second course, where abstract vector spaces are met in detail. Things of substance are met here, including the rank of a matrix. The section on three dimensional geometry makes use of the earlier sections on linear equations, matrices and determinants and some of the proofs are more algebraic (even pedantic) than some readers would like.

Table of Contents

  • Linear Equations
  • Matrices
  • Subspaces
  • Determinants
  • Complex Numbers
  • Eigenvalues and Eigenvectors
  • Identifying Second Degree Equations
  • Three-dimensional Geometry

Book Details

Author(s): Keith Matthews
Format(s): PDF
File size: 890 KB
Number of pages: 201
Link: Download.

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