Exam 1

Linear Algebra, Dave Bayer, February 15, 2011

Name:

[1] (5 pts) [2] (5 pts) [3] (5 pts) [4] (5 pts) [5] (5 pts) [6] (5 pts) TOTAL

Please work only one problem per page, starting with the pages provided. Clearly label your

answer. If a problem continues on a new page, clearly state this fact on both the old and the new

pages.

[1] What is the set of all solutions to the following system of equations?

3 1 1

2 1 1

2 0 1

x

y

z

=

8

7

5

[2] What is the set of all solutions to the following system of equations?

011509

001305

000016

u

v

w

x

y

z

=

5

3

4