## 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.

### Background material

• Matrix exponential: [pdf]
• Linear algebra background. Revision 30/8, 2007: [pdf]
• Jordan normal form: [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]
• 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]