SF2832 Mathematical Systems Theory
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.
Lecture Slides (2007)
Exercise Notes
Background material
- 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]
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]