## 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

* 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]*

### 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]*