The Z-transform is usually defined and developed in a typical course on Difference Equations. We extend the transform to matrix valued sequences. A couple of key observations leads to a rather novel and simple proof of the Cayley-Hamilton theorem.
Professor Mark Davidson, Mathematics Department, Louisiana State University
"The Cayley-Hamilton Theorem via the Z-Transform,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 13
, Article 4.
Available at: http://scholar.rose-hulman.edu/rhumj/vol13/iss2/4