Solution spaces, linear independence and determinants

Solution spaces of linear systems and linear independence: Ch. 3.4-3.5.

Watch the film Links to an external site.

Determinants: Ch. 4.1-4.2 

Watch the film Links to an external site.

Cross product, areas  and volumes: Ch. 4.3.

 

Reading for  Module 3 :

Ch. 3.4 all.   "Discussion and discovery" D2, D4, D6, D7, D8. "Working with proofs" P2, P3.

Ch. 3.5 all.  "Discussion and discovery" D1, D3, D4. "Working with proofs" P3, P4. 

Ch. 4.1  all.    "Discussion and discovery"  D2, D3. 

Ch  4.2  all  except the folloing three sections: "determinant evaluation by LU-decomposition", "Optional: proof of theorem 4.2.1" and   "Optional: Proof of Theorem 4.2.5". "Discussion and discovery" D1, D2, D3, D4, D7, D8, D9.

Ch 4.3  all.  "Discussion and discovery" D1, D2, D3, D4, D8.