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MAT183, Kleiner, Final
EXaminatio0eeember 12,2007
Print name:
Show your work. This is a 120min exam with 11 problems on 14 pages worth 120
points. Check that you have a complete exam.
Problem 1
Problem 5
Problem 9
Problem 2
Problem 6
Problem 10
Problem 3
Problem 7
Problem 11
Problem
4
Problem 8
Total
1
Total
2
Total
3
Overall total
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View Full Document 1. (5 points)
Do by hand.
Find the matrix of the following system of linear equations and,
using the Gaussian elimination method, bring it to its reduced row echelon form. For every step,
indicate what elementary row operation you use. Do
not
solve the system.
3y9z
=
6;
x
+
2y

z
==
7.
(b) (5 points) The matrix of a system of linear equations was transformed by the Gaussian
elimination method to the following form. Find the general solution of the system and express
your answer as a complete sentence.
1 5 0
6]
o
0
1
8
[
o
0
0
0
2
2. A conglomerate has three divisions, which produce wires, instruments, and telephones. For
each $1 worth of output, the wire division needs $.09 worth of wires, $.29 worth of instruments, and
$.11 worth of telephones. For each $1 of output, the instrument division needs $.27 worth of wires,
$.25 worth of instruments, and $.13 worth of telephones. For each $1 of output, the telephone
division needs $.21 worth of wires. $.43 worth of instruments, and $.18 worth of telephones. How
much should the wire, instrument, and telephone divisions produce to meet a demand for 8 million
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This note was uploaded on 01/14/2012 for the course MAT 183 taught by Professor Doerr during the Fall '08 term at Syracuse.
 Fall '08
 Doerr

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