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Solved: Solve (if possible) each of the following systems of three equations in three

Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams ISBN: 9781449679545 435

Solution for problem 6 Chapter 1.2

Linear Algebra with Applications | 8th Edition

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Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams

Linear Algebra with Applications | 8th Edition

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Problem 6

Solve (if possible) each of the following systems of three equations in three variables using the method of GaussJordan elimination. (a) 3x1 + 6x2 - 3x3 = 6 -2x1 - 4x2 - 3x3 = -1 3x1 + 6x2 - 2x3 = 10 (b) X1 + 2X2 + X3 = 7 x1 + 2x2 + 2x3 = 11 2x1 + 4x2 + 3x3 = 18 (c) X1 + 2X2 - X3 = 3 2x1 + 4x2 - 2x3 = 6 3x1 + 6x2 + 2x3 = -1 (d) x1 + 2x2 + 3x3 = 8 3x1 + 7x2 + 9x3 = 26 2x1 + 6x3 = 11 (e) x2 + 2x3 = 5 x1 + 2x2 + 5x3 = 13 X1 + 2X3 = 4 (f) X1 + 2x2 + 8x3 = 7 2x1 + 4x2 + 16x3 = 14 X2 + 3X3 = 4

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PSCI2012 KEY: Red Words: Important Key terms Chapter 2 State Key Problem: state strong enough to protect us is also strong enough to tyrannize us I. Why do we have govt  Pursuit of self – interst doesn’t work  Need balance between individual and collective benefits  Prisoner’s dilemma: only make sat least 1 player benefit o Need to find 3 party enforcer o For “collective good” o *individual decisions can lead to collectively good outcomes  Hobbes’s Problem: state of nature in which humanity was locked in prisoner’s dilemma o Life under state of nature would suck o Solution! Leviathan

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Chapter 1.2, Problem 6 is Solved
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Textbook: Linear Algebra with Applications
Edition: 8
Author: Gareth Williams
ISBN: 9781449679545

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Solved: Solve (if possible) each of the following systems of three equations in three