MATH 1324 Abraham Lincoln University Gauss Jordan Elimination Question

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Name:____________________________________ Math 1324 Quiz 6(Due by 3PM, Sep. 17)
Solve the following system using Gauss-Jordan Elimination by completing the following row
operations and completing the conclusion from the final matrix.
x1 + x2 + x3 = 4
x1 + 5 x2 + 13×3 = 44
1


1
1
1
4
5
13
44
 1
→
 
 
1
− R1 + R2 → R2
1
1
4
4


→




− R2 + R1 → R1
R2 → R2

x3 = t
x2 =








;where t is any real number.
x1 =




Bonus #1: A man travels to Austin at 40 miles per hour and returns at 60 miles per hour. What
was his average speed for the round trip?
Bonus #2: Given the following incomplete distance chart for 4 points in a plane, find the
distance from A to B.
A
B
C
D
A
0
?
21
9
B
?
0
5
7
C
21
5
0
12
D
9
7
12
0
Bonus #3: What fractional part of the figure is shaded(assuming that line segments that appear
parallel actually are, all angles are right angles, and the vertical line segments are
equally spaced.)?

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