## ALA-A, 2004, week 5

### Theory

**Goal:**

Understanding elementary matrix algebra, and the
determinant and inverse of a matrix. Understanding a linear system of
equations both as a set of lines/(hyper)planes in x-space and in the
space of column vectors. Understanding that f(x)=Ax is a linear
function/mapping in x, (like the projection Px onto a given matrix,
the rotation Rx, etc).

Understand the extension of the number system to complex numbers, and the algebra of these.

**Reading:**

AMBS chap 21.

**Excercises:**

Chapter 22:
**22.1, 22.2, 22.3**, 22.4, **22.5, 22.6abc**d, **22.7, 22.8,
22.9, 22.10a**bc

Chapter 21: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, (14), 15, 18

### Matlab

**Goal:**

To learn relevant matlab notation and syntax related to elementary matrix calculation, and to get to better understand the matrix algebra through matlab.

**Reading:**

**Exercises:**

### Activity plan:

L=Lecture, S=Studio, G=Group work

L1: Chapt 21.1-21.19.
Lecturer:
Karin Kraft

S1: 3D Geometry

G1: Work on suggested problems from the book

L2: Chapt 21.20-21.32.
Lecturer:
Erik Svensson

S2: Lecture on programming. Thursday 10-12 room KE, 13-15 room KA.
Lecturer:
Johan Jansson

G2: Continue to work on suggested problems from the book.

Matlab consultation: Thursday 17-19, room KD1, tutor: David Heintz.

`/stig`