Lecture 7: Linear transformations and eigenanalysis - Bio723-class/Bio723-lecture GitHub Wiki

Learning goals checklist for this class session

• Build a geometric understanding of linear transformations, eigenvectors, and eigenvalues
• Learn basics of how to do eigenanalysis in R

In class

• "live coding" session (to be posted here after class)

Readings and Videos

• Wickens, T. D. The Geometry of multivariate statistics -- Chapter 9

• Please watch these videos by Grant Sanderson:

  • Eigenvectors and eigenvalues
  • Change of basis
  • It may be helpful to review these earlier videos:
    • Linear transformations and matrices
    • Three dimensional linear transformations
    • The determinant