**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.

Understanding the definition of a graph having a tangent, the
concept of "linearization" of a function close to a given point, and the
related definition of the derivative of a function.

**Reading:**

AMB&S chap. 20 (last part), 21 (some parts, for example sections 21.22 and 21.26) and 23 (the Derivative, first part)

**Excercises:**

**23.1**, **23.2**, 23.6, 23.7

**Project:**

Project f(x)=0 : Oral presentation on Friday. Written report on Monday morning!

**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:**

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

L1: Reconsideration of the introductory analysis.

S1: Linear systems of equations. Gaussian elimination. Row pivoting. The determinant. Inverse matrix. Geometric interpretation. Linear algebra using Matlab. Work on project f(x)=0.

G1: Complete project and continue working on suggested problems from the book

L2: Linearization, tangent and the derivative. AMB&S chap. 23.

S2: Suggested work on linearization.

G2: Oral presentation of project f(x)=0.

/Kenneth

Last modified: Tue Aug 15 15:18:36 MET DST 2000