SF2832 Mathematical
Systems Theory
Lecture
Notes (2020)
Previous
recorded lectures
Exercise Notes
Notes
on Kalman filter
Proof of Cayley
Hamilton Theorem:
There
are several ways to show the theorem. This link
provides a simple way to prove it. A more intuitive way is to prove it using
Jordan form: here.
Background material
- Matrix exponential: [pdf]
- Linear algebra background. Revision 30/8, 2007: [pdf]
- Jordan normal form: [pdf]
Old Exams
- Exam 1, 2006: [pdf]
and the solution [pdf]
- Exam 2, 2007: [pdf]
and the solution [pdf]
- Exam 3, 2008: [pdf] and the solution [pdf]
- Exam 4, Jan. 2009: [pdf]
and the solution [pdf
(revised 2011)]
- Exam 5, March 2011: [pdf]
and the solution [pdf]
- Exam 6, March 2012: [pdf]
and the solution [pdf]
- Exam 7, March 2013: [solution]
- Exam 8, January 2014: [solution]
- Exam 9, January 2015: [solution]
- Exam 10, April 2015: [solution]
- Exam 10, January 2016: [solution]
- Exam 10, March 2016: [solution]
- Exam 16, January 2017: [solution]
- Exam 9, January 2018: [solution]
- Exam 8, January 2019: [solution]
- Exam 8, January 2020: [solution]
- Exam 15, April 2020: [solution1]
- Exam 15, April 2020: [solution2]
- Exam 8, January 2021: [solution1]
- Exam 8, January 2021: [solution2]
- Exam 7, April 2021: [solution1]
- Exam 7, April 2021: [solution2]
- Exam 11, January 2022: [solution]
- Exam 12, April 2022: [solution]
- Exam 13, January 2023: [solution]
Old Homeworks
- HW1, 2008: [pdf]
and the solution [pdf]
- HW2, 2008: [pdf]
and the solution [pdf]
- HW3, 2008: [pdf]
and the solution [pdf]
- HW1, 2009: [pdf]
and the solution [pdf]
- HW2, 2009: [pdf]
and the solution [pdf]
- HW3, 2009: [pdf]
and the solution [pdf]
- HW1, 2011: [pdf]
and the solution [pdf]
- HW2, 2011: [pdf]
and the solution [pdf]
- HW3, 2011: [pdf]
and the solution [pdf]
- HW1, 2012: [pdf]
and the solution [pdf]
- HW2, 2012: [pdf]
and the solution [pdf]
- HW3, 2012: [pdf]
and the solution [pdf]
- HW1, 2013: [pdf]
and the solution [pdf]
- HW2, 2013: [pdf]
and the solution [pdf]
- HW3, 2013: [pdf]
and the solution [pdf]
- HW1, 2014: [pdf]
and the solution [pdf]
- HW2, 2014: [pdf]
and the solution [pdf]
- HW3, 2014: [pdf]
and the solution [pdf]
- HW1, 2015: [pdf]
and the solution [pdf]
- HW2, 2015: [pdf]
and the solution [pdf]
- HW3, 2015: [pdf]
and the solution [pdf]
- HW1, 2016: [pdf]
and the solution [pdf]
- HW2, 2016: [pdf]
and the solution [pdf]
- HW3, 2016: [pdf]
and the solution [pdf]
- HW1, 2017: [pdf]
and the solution [pdf]
- HW2, 2017: [pdf]
and the solution [pdf]
- HW3, 2017: [pdf]
and the solution [pdf]