HW1_Sol - E160 Operations Research I Fall 2008 Homework#1...

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E160 Operations Research I Fall 2008 Homework #1 Solution Chapter 2 Section 2.3 1. 8 4 3 1 1 2 1 0 1 1 0 1 0 1 1 5 4 3 0 1 1 0 0 1 1 0 1 0 1 1 - - 1 4 1 0 0 0 0 0 1 1 0 1 1 0 1 The last row of the last matrix indicates that the original system has no solution. 2. 6 4 0 2 1 1 1 1 - 2 4 1 1 0 1 1 1 - 2 2 1 1 0 2 0 1 This system has an infinite number of solutions of the form x 3 = k, x 1 = 2 - 2k, x 2 = 2 + k. 6. - 0 4 4 1 1 0 1 2 1 2 2 0 - 0 4 4 1 1 0 2 2 0 1 2 1 - 0 2 4 1 1 0 1 1 0 1 2 1 - - 0 2 0 1 1 0 1 1 0 1 0 1 - - - 2 2 0 2 0 0 1 1 0 1 0 1 - 1 2 0 1 0 0 1 1 0 1 0 1 1 2 1 1 0 0 1 1 0 0 0 1 1
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HW1_Sol - E160 Operations Research I Fall 2008 Homework#1...

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