Bases and dimension: Kap. 7.1–7.2

Nulspace and kolumnspace; the dimension theorem: Kap. 7.4–7.6

Projections: Kap. 7.7

Least squares method: Kap. 7.8

Gram-Schmidt process: Kap. 7.9

Coordinates with respect to a basis: Kap. 7.11.

Reading for Module 5 :

Ch 7.3 all. "Discussion and discovery" D1, D2, D3, D6, D7

Ch 7.4 up till "more on hyperplanes" (inclusive). "Discussion and discovery" D1-D9. Working with proofs: P4.

Ch 7.5 up till "Overdetermined and underdetermined linear systems" (inclusive).

Ch 7.6 up till "bases for the fundamental spaces of a matrix"(inclusive). "Discussion and discovery" D1, D2.

Ch 7.7 all except "strang diagrams" and "full column rank...". "Discussion and discovery" D3, D6 .

Ch 7.8 all except "strang diagrams..". " Discussion and discovery" D1, D2, D3, D4.

Ch 7.9 all. " Discussion and discovery" D6.