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Unformatted text preview: x 1 + 4 x 3 = 200x 1 + x 2 + 9 x 3 = 200 2 x 1x 2 + 7 x 3 = 200 . (a)(15 points) Write the augmented matrix corresponding to this system. Solution 1 41 1 9 21 7 ± ± ± ± ± ± ± 200 200 200 (b)(20 points) Reduce the augmented system in part (a) to echelon form. Solution1 4 2001 1 9 200 21 7 200 14200r 1 1 5 r 2r 11 15 600 r 3 +2 r 1 14200 1 5 20 600 r 2 + r 3 (c)(10 points) Describe the set of solutions to the given system. Solution 20 x 3 = 600 → x 3 = 30 x 2 + 5 x 3 = 0 → x 2 =5 x 3 =150 x 14 x 3 =200 → x 1 =200 + 4 x 3 =80 Therefore, the solution set consists of the unique point x 1 x 2 x 3 = 80150 30 ....
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 Spring '10
 JimBurker
 Math, SEPTA Regional Rail, Jaguar Racing, University City, R R, All wheel drive vehicles

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