Diagonalization and abstract vector spaces

Coordinates with respect to a base: Ch 7.11

Matrix representation of a linear map: Ch. . 8.1  

Diagonalising: Ch. 8.2, 

Ortogonal diagonalising and quadratic forms: Ch. 8.3–8.4.

Abstract vector spaces: Ch. 9.1 

General linear transformations: Ch. 9.3

Reading for  Module 6 :

Ch. 7.11  all.  "Discussion and discovery"  D1,D2, D3, D4, D5.

Ch. 8.1  all.  "Discussion and discovery"  D4, D5.

Ch. 8.2 all. "Discussion and discovery"  D2, D3, D4, D5. 

Ch. 8.3 all except "Cayley- Hamilton theorem", "exponential of a matrix" och  "the nondiagonalizable case". "Discussion and discovery" D1, D2. 

Ch 8.4 all. "Discussion and discovery"  D1, D2, D3.

Ch. 9.1 allt except the last two sections. "Discussion and discovery"  D2, D3, D4.

Ch. 9.3  all except  "inner product space isomorphisms".  "Discussion and discovery"  D1, D2, D3.