mstang - Math 208 Notes

Math 208 Notes

Here are my lecture notes for UW's Math 208, Matrix Algebra with Applications, which I taught in Summer 2025. Together with the standard textbook for the course, Holt's Linear Algebra with Applications, I also found Robert Won's notes on a previous iteration of this course to be invaluable for preparing these notes.

I would be grateful for any feedback; you can find my email address on the homepage here. Thanks! 6/23/25 Solving linear systems 6/25/25 Gaussian elimination 6/27/25 Gauss-Jordan elimination 6/30/25 Linear combinations and span 7/2/25 Span (cont.) and linear independence 7/7/25 Linear independence (cont.) and the unifying theorem 7/9/25 Linear transformations 7/14/25 Matrices of linear transformations; one-to-one property 7/16/25 Onto property; matrix algebra 7/18/25 Matrix inverses 7/21/25 Subspaces 7/23/25 Bases and dimension 7/25/25 Bases and dimension (part 2) 7/28/25 Rank and nullity 7/30/25 Change of basis; midterm 2 review 8/4/25 Determinants 8/6/25 Determinants (part 2) 8/8/25 Determinants (part 3) 8/11/25 Eigenvectors and eigenvalues 8/13/25 Eigenbases 8/15/25 Diagonalization