As in Exercise 17, describe the solutions of the following

Chapter 1, Problem 18E

(choose chapter or problem)

Problem 18E

As in Exercise 17, describe the solutions of the following system in parametric vector form, and provide a geometric comparison with the solution set in Exercise 6.

Exercise 17:

Follow the method of Example 3 to describe the solutions of the following system in parametric vector form. Also, give a geometric description of the solution set and compare it to that in Exercise 5.

Example 3: Describe all solutions of Ax = b, where

Exercise 5:

In Exercises 5 and 6, follow the method of Examples 1 and 2 to write the solution set of the given homogeneous system in parametric vector form.

Example 1: Determine if the following homogeneous system has a nontrivial solution. Then describe the solution set.

Example 2: A single linear equation can be treated as a very simple system of equations. Describe all solutions of the homogeneous “system”

Exercise 6:

Follow the method of Examples 1 and 2 to write the solution set of the given homogeneous system in parametric vector form.

Example 1: Determine if the following homogeneous system has a nontrivial solution. Then describe the solution set.

Example 2: A single linear equation can be treated as a very simple system of equations. Describe all solutions of the homogeneous “system”