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 ﬁnite 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, Gaussian Elimination, Prime number, free variables

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