IEOR162_hw01_sol

IEOR162_hw01_sol - IEOR 162 Spring 2012 Suggested Solution...

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Unformatted text preview: IEOR 162, Spring 2012 Suggested Solution to Homework 01 Problem 1 (Modified from Problem 2.3.6) First we represent this linear system in the augmented matrix form 0 2 2 4 1 2 1 4 0 1- 1 . Then we apply the Gauss-Jordan elimination as follows: 0 2 2 4 1 2 1 4 0 1- 1 1 2 1 4 0 2 2 4 0 1- 1 1 2 1 4 0 1 1 2 0 0- 2- 2 1 2 0 3 0 1 0 1 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 . With this we know the unique solution is ( x 1 ,x 2 ,x 3 ) = (1 , 1 , 1). Problem 2 (Modified from Problem 2.3.8) First we represent this linear system in the augmented matrix form 1 1 1 0 1 0 1 2 1 2 0 0 0 1 3 . Then we apply the Gauss-Jordan elimination as follows: 1 1 1 0 1 0 1 2 1 2 0 0 0 1 3 1 0- 1- 1- 1 0 1 2 1 2 0 0 1 3 1 0- 1 0 2 0 1 2- 1 0 0 1 3 ....
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This note was uploaded on 03/14/2012 for the course IEOR 162 taught by Professor Zhang during the Spring '07 term at Berkeley.

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IEOR162_hw01_sol - IEOR 162 Spring 2012 Suggested Solution...

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