Advanced Linear Algebra - Lecture 27: Normal Matrices and the Complex Spectral Decomposition

We introduce normal matrices and see (via the complex spectral decomposition) that they are exactly the matrices that can be diagonalized via a (complex) unitary matrix. 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.