Math 202                                                                   C.S. Davis

Your are responsible for the subject matter in sections 1.1, 1.2 and 1.3 from Elementary Linear Algebra, fifth edition, by Larson and Edwards. The following topics are the most important. Typical exercises are assigned at the end of each topic.  Work more exercises for more practice.

Section 1.1

1.

For systems of m linear equations and n unknowns, where m = 1,2,3 and n = 1,2,3, by the methods below:

a.

Solve by Gaussian elimination and back substitution. P11#11,13,15

b.

Solve graphically (n = 2 only). P11#17

c.

Give a graphical description of both the linear system and the solution. P11#21,23,25

d.

In the case of an infinite number of solutions, write the multiple solutions parametrically. P11#7,9,17,19

Section 1.2

1.

Determine whether a matrix is in row echelon form and/or reduced row echelon form. P25#7,9,11

2.

Use elementary row operations on an augmented matrix to solve a system of linear equations by

a.

Gaussian elimination and back substitution (row echelon form) and

b.

Gauss-Jordan elimination (reduced row echelon form), and

interpret a reduced row echelon augmented matrix as the solution to a linear system. P26#19,23,25,27

3.

Solve homogeneous systems. P26#39,41

Section 1.3

1.

Do applications in polynomial curve fitting. P37#1,4

2.

Network analysis. P38#21,23

3.

Electrical networks. P38#25,27