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# sample1p - ables MATH 43 6th Quiz October 3 2007 1 Find the...

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MATH 43 Suggested Problems Similar to 2006 Exam 1 October, 2007 1.2 - 9, 36. See also quiz 2. MATH 43 Suggested Problems to Review October, 2007 1.3 - 14, 23, 24 2.2 - 31, 41. Note: Instructions 2.3 - 2, 23 MATH 43 Additional Practice October, 2007 2.2 - 27. Identify free variables. Give a spaning set for solution. 2.2 - 40**. Compare Quiz #5, Problem 2. MATH 43 5th Quiz* (take-home) due: September 26, 2007 1. Use Gauss-Jordan elimination to solve the [following] system. Include a clearly identiﬁed reduced row echelon matrix for the coeﬃcient matrix; and a statement identifying which variables are leading variables and which variables are free vari-
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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 3-2 | 1-2 1 | 1-2 | . Identify the free variables and leading variables. Replace the free variables by pa-rameters, 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 • 2-4 |-6 2 + 2 k | 3 + 3 k ‚ ....
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