MATH 2000 Linear Algebra

This topic represents half of the material in the MATH 2000 course. It builds on the solution of systems of linear equations and related topics which have been covered in secondary school and first year. It aims to provide a more general framework for this material.

For more details, see the

  • course profile.

    The following notes illustrate some topics covered in the course.

  • Vector Spaces
  • Linear Transformations
  • Linear Equations and LU decompositions
  • Inner Product Spaces
  • Eigenvalues and Eigenvectors
  • Functions of Matrices
  • Matrix Norms
  • Gerschgorin's Theorem
  • Hermitian Operators
  • Hermitian Operators (cont)
  • Quadratic Forms
  • Some useful Matlab routines

    Students might also like to visit

  • this website.

    The tutorial sheets for this part of the course are in the following files.

  • Sheet 1
  • Sheet 2
  • Sheet 3
  • Sheet 4
  • Sheet 5

    Solutions for the tutorial questions are contained in the following files.

  • Sheet 1
  • Sheet 2
  • Sheet 3
  • Sheet 4
  • Sheet 5

    Material about the second half of the course can be found on
  • Dr Diamonds home page.