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Unformatted text preview: ables. MATH 43 6th Quiz* October 3, 2007 1. Find the solutions of the system of equations with the augmented matrix 1 32  12 1  12  . Identify the free variables and leading variables. Replace the free variables by parameters, then solve for the leading variables in terms of the parameters. Write your solution x as a linear combination of a nite set of spanning vectors u 1 , u 2 , . . . u d . Give the vectors u 1 , u 2 , . . . u d . **For 2.2  40, the system reduces to 24 6 2 + 2 k  3 + 3 k ....
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 Spring '08
 Dodson
 Math

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