R1 Linear Algebra Review

Coordinator

Dr. Alessandro Sbrizzi

Contact

Dr Alessandro Sbrizzi (A.Sbrizzi@umcutrecht.nl)

Dat4

This course is taught once every two years, the next course is scheduled for September 2024.


Register
 by sending an e-mail to ImagO

Location

University Medical Center Utrecht

Course content

This course will review the fundamental concepts of Linear Algebra; an essential ingredient of imaging science. The aim of the course is to refresh and to deepen the participant’s understanding of linear algebra.The course will cover the following topics

  • systems of linear equations
  • linear transformations
  • determinants
  • vector space
  • linear dependency
  • orthogonality
  • orthogonal projections
  • least-squares problems
  • eigenvectors/eigenvalues
  • quadratic forms
  • singular value decompostion
  • rank
  • numerical and computational issues

and applications

  • image processing
  • principal component analysis
  • optimization
  • dynamical systems
  • differential equations
  • Fourier theory

Literature

“Linear Algebra and its Applications”, David Lay, Addison-Wesley, 4th edition
ISBN 9780321385178