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Advanced Linear Algebra - Lecture 25: Schur Triangularization

We learn about Schur triangularization, which tells us how simple we can make matrices under unitary similarity transformations. We then use it to prove that the determinant of a matrix is the product of its eigenvalues, and the trace of a matrix is the sum of its eigenvalues. Textbook: http://www.njohnston.ca/publications/... Blank course notes (lectures 25-29): http://www.njohnston.ca/ala_week7.pdf Annotated course notes (lectures 25-29): http://www.njohnston.ca/ala_week7_ann... Please leave a comment below if you have any questions, comments, or corrections.