# Matrixrekenen (IPC017), lectures, 1st quarter, Autumn 2017

This page contains specific information about the **Autumn 2017** course and lectures (for general information, see IC
studiegids). Please don't forget to register in blackboard for this course, in order to receive email announcements. However, all relevant course information will be provided here (and not in blackboard).

All students should register for a werkcollege group by |

For exercises, see the: **exercise page**.

**Prerequisites** consist of (secondary) school mathematics. It is your own responsability to be properly prepared. You can
find an overview of the relevant topics in, for example:

- Wim Gielen's syllabus (in Dutch)

**Course material** consists of:

- Slides. (see below)
- (Optional) linear algebra booklet by Bernd Souvignier (in Dutch).

**Lectures** will be given by Aleks Kissinger in English. All course materials will be in English, with the exception of those mentioned above.

- Lectures with be on
**Tuesdays 10:45-12:30**in the Huygens building, room**HG00.304**. - First lecture:
**September 5** - Last lecture:
**October 24**

**Werkcollege's** take place every Friday, from September 8 until October 27.

Unless otherwise stated, work should be handed on every **Monday by 4pm sharp** to the box of your teacher on the ground floor of Mercator 1. Exercises will generally be marked and returned to you at the werkcollege on Friday. The werkcollege's are:

**Group A:**John van de Wetering <wetering@cs.ru.nl>. HG00.114 Friday 8:45-10:30**Group B:**Justin Reniers <j.reniers@student.ru.nl>. HG01.058 Friday 8:45-10:30**Group C:**Justin Hende <justin.hende@gmail.com>. HG02.028 Friday 8:45-10:30**Group D:**Bart Gruppen <b.gruppen@student.ru.nl>. HG03.632 Friday 8:45-10:30

## Lectures and slides (topics subject to change)

**Lecture 1, Tuesday 5/9***Topic:*introduction to linear equations, solving systems of linear equations, matrix and augmented matrix, Gauss-Jordan-elimination*Slides:*pdf

**Lecture 2, Tuesday 12/9***Topic:*solutions of a set of homogeneous equations, pivot, (in)consistency, vectors, (in)dependence of vectors*Slides:*pdf

**Lecture 3, Tuesday 19/9***Topic:*vector spaces, basis and dimension, linear maps and matrices, matrix operations: addition, scalar multiplication, transpose, matrix-vector multiplication.*Slides:*pdf

**Lecture 4, Tuesday 26/9***Topic:*bases, representing vectors and linear maps as matrices, matrix multiplication

**Lecture 5, Tuesday 3/10***Topic:*Inverses, determinant, transformation of bases.

**Lecture 6, Tuesday 10/10***Topic:*Eigenvalues and eigenvectors, iterated matrix multiplication, matrix exponents and square roots.

**Lecture 7, Tuesday 17/10***Topic:*Length of a vector, inner product, angle and distance between vectors, orthogonality and orthonormal bases.

**Lecture 8, Tuesday 24/10***Topic:*Gram-Schmidt orthogonalisation, projecting a vector on a subspace, approximation; wrapping up.

## Grading

Your **final grade** for this course will be composed from
your **assignment grade** *A* and the (written) **exam grade** *E*:

- your final grade is
*A/10 + E*with a maximum of 10. It must be at least 6 to pass the course. - weekly exercises are to be handed in: your answers will be
marked each week, and at the end of the course we compute the average of your marks; this average will constitute the
**assignment grade***A*. You must submit individually (not in pairs), see the exercise page for the exercises; - a single written exam on
**November 6**constitutes your**exam grade***E*and will make up the major part of your final grade.

If you fail, you can do a retry of the written exam on **January 3**. If you fail once again, you will have to redo the whole course (including exercises) next year.

All students who have already done the exam for this course twice, unsuccesfully, will be required to do the following before they obtain the right to do the exam again:

- Talk to the study advisor; it is advised to contact him/her as soon as possible to schedule a meeting.
- Attend all lectures and exercise courses
- Hand in all exercises and obtain a minimum assignment grade
*A = 5*.