**Goal:**

Understanding vectors and fundamental vector and matrix algebra, including
projections, rotations, reflections etc. Further, linear systems of equations
and a first taste of the important concepts linear dependence/independence
of vectors, and basis.

Understanding the fundamentals of complex numbers and their arithmetic, and the basic fact that any n'th degree polynomial equation has exactly n roots.

**Reading:**

AMBS chapt 20, 22

Minimum reading:
20.23-47; 22

**Exercises:**

20.1, **20.3**, 20.4, 20.5, **20.6**, 20.7, **20.8**, **20.9**, **20.10** (note misprint:
..a onto b onto (1,2) with.. should read ..b=(1,2) onto a with..), **20.11**,
20.12 (see 20.13), **20.14**,
20.15, 20.16, 20.17, **20.18**, 20.19, **20.20**, 20.21, **20.22**, 20.25, 20.26, 20.27. Consider bold **first**, then the rest!

**Goal:**

Getting more familiar with the matlab syntax for vectors (lists) and matrices,
and how to use matlab as an elementary vector and matrix calculator,
including solving linear systems of equations.

**Reading:**

**Excercises:**

20.23, 20.24

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

L1: Special lecture (pdf), with preparation for understanding the particle-in-box model and Lambert Beers law. Lecturer: Stig Larsson

G1: Systems of linear equations. Intro to Gauss elimination method.

L2:
Chapter 20.23-20.47.
Lecturer:
Georgious Foufas

S1: Linear Systems

L3: Complex numbers. Chapter 22. Lecturer: Axel Målqvist

S3: Continue with A6. Linear Systems

G2: Problems from the book.

`/stig`