Study Materials

Supplementary Notes

These notes supplement the readings in the course textbook.

Notes for Lecture 3: Matrices (PDF)

Notes for Lecture 6: Inverses and Transposes (PDF)

Notes for Lectures 9-10: Linear Independence and Basis and Dimension (PDF)

Fields and Subfields (PDF)

Permutations (PDF)

Linear Operators of the Plane (PDF)

Lecture Notes from 2004 on Jordan Canonical Form are courtesy of Prof. Jason Starr and used with permission:

  • Lecture 1: Systems of Linear Equations (PDF)
  • Lecture 2: Echelon Form (PDF)
  • Lecture 3: Matrices (PDF)

Holder's and Minkowski's Inequalities (PDF)