Math 1090.002 Quiz 04
Fall 2015
Class ID
#:
Sot
ulD
#:
Instructions:
• Please clear your desks and remove headphones and hats during the quiz.
• Show all work, as partial credit will be given where appropriate. If no work is shown, there
may be no credit given.
• All final answers should be written in the space provided on the quiz and in simplified
form. When needed, give your answer as an exact amount, i.e. a fraction or symbolic
expression, except for dollar amounts which should be rounded to the nearest cent.
• Calculators are not allowed on this quiz.
• If your phone is out during the quiz it will be considered a cheating offense
put your phone away!
1
-
Math 1090.002
02 October 2015
1. Use Gauss-Jordan Elimination to solve the following system of equations:
‘
Ix + 2z
=
1
2x + y + 8z = 2
3x + 4y + 23z = 0
[10 points]
(a) Begin by writing this system of equations in Matrix Form:
1
0
2
3’3L
(b) Next write the Augmented Matrix for this system:
10
33v
2
02 October 2015
Math 1090.002
(c) Solve the system
I
L
o
3
I l
I
1
3
R
J
d
12
L
o
I0l
o
I
x7
I;:RWL-Z
2..\
oJ
1
0
Ganss—Jordan elimination:
fl
i.1
I
10
nsi1g
I
o
0
1
7_I I I
4
o
I
-+i3
3
R
0
I 0 f
oi4O
I
i3J
0
F’
QI
L0
I
I
(d) Check your work using Matrix Multiplication
I o
Z I
zr 1
It
(()t?)
7
(
2
I
3
1
\
[
I
2
0