Math 1090.04 Quiz 05
Spring 2013
Studeit ID Number:
Name
Instructions:
• Please remove headphones and hats during the quiz
• Show all work, as partial credit will be given where appropriate. If
work is shown, there may be no credit givei.
110
• 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 like e
, except for dollar amounts
2
which should be rollnded 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!
-
• When you have completed this quiz, place your homework on top of your
quiz and remain quietly at your desk. All homework and quizzes will be
collected together.
MathlO9O.004
Quiz 05, Page 2 of 2
14 February 2013
WRITE YOUR ANSWERS ON THE LINES PROVIDED
fl
1. Use Gaussian Elimination to solve the following system of equations:
[100 ptsj
1
(x + 2z
2x + y + 8z = 2
3x + 4y + 23z = 0
(1)
—
(2)
(3)
(a) Begin by writing this system of equations in Matrix Form:
alrxj
Fi
Il
&3JLZJ
2
2
LO
(b) Next write the Augmented Matrix for this system:
(c) Using the
nation:
“a”
2.
C)
‘‘
4
&
notation described in class, solve the system using Gaussian Elimi
no
2.
0
3
F!
I z
I
43
_3
0
,-3’
Lo
2
4D
3
A
2
E
joi
Lo
—3
I
X
—
‘F
3
z’-2R
C
)
0
Lo
o
-3
-
y
(d) Check your work using Matrix Multiplication
z
li(42(-31
I
4
J
I
-
\2(-CI2(i
i L
223(3j
r
-
/
[#-]
i4i—t-
0