I have received a request for mathematical exercises to develop a better understanding of the mathematics and the notation used in the slides.
I can recommend solving exercises 1, 2, 3, 6, 7, 8 on vectors, and 44.1, 45, 47, 48, 49, 50, 51, 52, 53 on matrices from
http://people.math.aau.dk/~olav/undervisning/mcg08/opg.pdf
-André