Linear Algebra - Lecture 44: Matrix Functions via Diagonalization

We use diagonalization to define functions of a matrix, like the exponential of a matrix, the sin of a matrix, and the logarithm of a matrix. Textbook: http://www.njohnston.ca/publications/introduction-to-linear-and-matrix-algebra/ Blank course notes (lectures 40-44): http://www.njohnston.ca/la_week11.pdf Annotated course notes (lectures 40-44): http://www.njohnston.ca/la_week11_annotated.pdf Please leave a comment below if you have any questions, comments, or corrections. Timestamps: 00:00 - Introduction and the matrix exponential 02:16 - Matrix exponential example 04:03 - Mathematical justification 06:23 - Properties of matrix exponential 09:00 - Sin of a matrix example #linearalgebra #diagonalization #matrixfunctions #math