Math 201
Name (Print):
Spring 2015
Midterm 1
03/04/15
Lecturer: Jesse GellRedman
Time Limit: 50 minutes
Teaching Assistant
This exam contains 11 pages (including this cover page) and 5 problems. Check to see if any pages
are missing. Enter all requested information on the top of this page, and put your initials on the
top of every page, in case the pages become separated.
You may
not
use your books, notes, or any calculator on this exam.
You are required to show your work on each problem on this exam. The following rules apply:
•
Show your work
, in a reasonably neat and coher
ent way, in the space provided. Work scattered all
over the page without a clear ordering will receive
very little credit.
•
Follow the instructions closely
. For example,
if you are asked to justify your answers, then do so
in a brief and coherent way.
•
Points will be taken off for incorrect state
ments, even if correct ones are present.
Be
careful about what you include in your answers. If
they contain both the correct answers and incor
rect or nonsense statements, points will be taken
off.
•
If you need more space, use the back of the pages;
clearly indicate when you have done this.
Good luck!!
Do not write in the table to the right.
Problem
Points
Score
1
20
2
20
3
20
4
20
5
20
Total:
100
Math 201
Midterm 1  Page 2 of 11
03/04/15
1. (20 points)
Solving linear systems:
show your work.
(a) (10 points) Find all solutions to the linear system
x
+
4
y
+
z
=
6
x
+
y
=
2
x

y

z
=

1
1
4
1
6
1
1
0
2
1

1

1

1
→
Math 201
Midterm 1  Page 3 of 11
03/04/15
(b) (10 points) Consider the linear system
x
+
y

z
=
0
3
x

5
y
+
13
z
=
0
Does this system have a unique solution, infinitely many solutions, or no solutioins at all?
Justify your answer. (You don’t have to solve the equation.)
Math 201
Midterm 1  Page 4 of 11
03/04/15