Assignment For Section 3.1 - 3.3

Readings Questions:

You should read the section before attempting any reading questions or problems. Remember that you are responsible for all definitions and examples. Also remember to keep the answers to the reading questions on a separate piece of paper; these will be randomly collected from time to time.

1)   Define in your own words each of the following terms. Include examples to clarify your definitions.
a) linear system                                              d) coefficient matrix
b) solution of a linear system                            e) augmented coefficient matrix
c) homogeneous linear system                           f) trivial solution

2)   Give examples of consistent and inconsistent systems.

3)   Do number 31 on page 149.

4)   How does the elimination method of section 3.1 compare to the Gaussian elimination method of 3.2?

5)   How does Gaussian elimination compare to Gauss-Jordan elimination?

Problems:
page 149     5, 7, 9, 15, 25, 33
page 160     {11, 13, 15, 17}, 21, 25
page 169     5, 17, 19, {21, 23, 25, 27}, 32, 36

Assignment For Section 3.4 - 3.6

Problems:
page 181     3, 5, 7, 11, 16, 17, 21, 23, 25, 29, 31, 35
page 195     3, 7, 11, 17, 21, 25, 32, 34, 37
page 213     1, 2, 7, 8, 13, 15, 19, 23, 31, 33, 35, 36