Multimedia Kurs i Linjär Algebra

Contents

• Introduction

  • Signal processing application (ps-file) (pdf-file)

• Basics

  • Linear equations (ps-file) (pdf-file)
  • Vectors and matrices (ps-file) (pdf-file)
  • Linear spaces and bases (ps-file) (pdf-file)
  • Orthogonalization and Gram--Schmidt (ps-file) (pdf-file)
  • Subspaces and the spaces of a matrix (ps-file) (pdf-file)
  • Eigenvalues and diagonalization (ps-file) (pdf-file)
  • Determinants (ps-file) (pdf-file)

• Factorization (ps-file) (pdf-file)

• Quadratic forms (ps-file) (pdf-file)

• Special linear mappings

  • Norm--preserving linear mappings (ps-file) (pdf-file)
  • Rotations (ps-file) (pdf-file)
  • Reflections (ps-file) (pdf-file)
  • Projections (ps-file) (pdf-file)
  • Permutations (ps-file) (pdf-file)
  • The Fourier Matrix (ps-file) (pdf-file)
  • Toeplitz matrices (ps-file) (pdf-file)
  • Hankel matrices (ps-file) (pdf-file)
  • Vandermonde matrices (ps-file) (pdf-file)

• Applications

  • Least square estimation (ps-file) (pdf-file)
  • Controllability and Observability, MUSIC, ESPRIT (ps-file) (pdf-file)

Matlab files

• bases2D.m
• eig1.m
• eig2.m
• espritapp.m
• fourmat.m
• householder.m
• lineqsys.m
• lufac.m
• musicapp.m
• normpres.m
• ortho.m
• permutations.m
• polyreg.m
• projections.m
• quadform.m
• rangespace.m
• reflections.m
• rotations.m
• svdgames.m