Numerical ranges of matrices (1/2)
| Week | Course Content | Course Video |
|---|---|---|
| Week 01 | General introduction of the course | Watch Online |
| Week 02 | Basic operations on 2-by-2 matrices (1/2) | Watch Online |
| Week 02 | Basic operations on 2-by-2 matrices (2/2) | Watch Online |
| Week 03 | Row-equivalence, column-equivalence and unitary equivalence of matrices (1/2) | Watch Online |
| Week 03 | Row-equivalence, column-equivalence and unitary equivalence of matrices (2/2) | Watch Online |
| Week 04 | Similarity of matrices (1/2) | Watch Online |
| Week 04 | Similarity of matrices (2/2) | Watch Online |
| Week 05 | Similarity of matrices | Watch Online |
| Week 06 | Jordan canonical form and spectral properties of matrices (1/2) | Watch Online |
| Week 06 | Jordan canonical form and spectral properties of matrices (2/2) | Watch Online |
| Week 07 | Rational form and nonderogatory matrices (1/2) | Watch Online |
| Week 07 | Rational form and nonderogatory matrices (2/2) | Watch Online |
| Week 08 | QR decomposition and singular value decomposition of matrices (1/2) | Watch Online |
| Week 08 | QR decomposition and singular value decomposition of matrices (2/2) | Watch Online |
| Week 09 | Perron-Frobenius theory of nonnegative matrices (1/2) | Watch Online |
| Week 09 | Perron-Frobenius theory of nonnegative matrices (2/2) | Watch Online |
| Week 10 | Perron-Frobenius theory of nonnegative matrices (1/2) | Watch Online |
| Week 10 | Perron-Frobenius theory of nonnegative matrices (2/2) | Watch Online |
| Week 11 | Discussions on mid-term homework problems (1/2) | Watch Online |
| Week 11 | Discussions on mid-term homework problems (2/2) | Watch Online |
| Week 12 | Matrix inequalities (1/2) | Watch Online |
| Week 12 | Matrix inequalities (2/2) | Watch Online |
| Week 13 | Numerical ranges of matrices (1/2) | Watch Online |
| Week 13 | Numerical ranges of matrices (2/2) | Watch Online |
| Week 14 | Numerical ranges of matrices (1/2) | Watch Online |
| Week 14 | Numerical ranges of matrices (2/2) | Watch Online |
| Week 15 | Matrix dilations (1/2) | Watch Online |
| Week 15 | Matrix dilations (2/2) | Watch Online |
| Week 16 | Numerical ranges of matrices (1/2) | Watch Online |
| Week 16 | Numerical ranges of matrices (2/2) | Watch Online |
| Week 17 | Numerical ranges of matrices (1/2) | Watch Online |
| Week 17 | Numerical ranges of matrices (2/2) | Watch Online |
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