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.

AMBS chap 21.

Excercises:
Chapter 22: 22.1, 22.2, 22.3, 22.4, 22.5, 22.6abcd, 22.7, 22.8, 22.9, 22.10abc
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.

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