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Unformatted text preview: 1 Problem 4 Attempt to solve the systemx 1 + 3 x 22 x 3 = 4 ,2 x 1 + 7 x 25 x 3 = 9 ,5 x 1 + 19 x 214 x 3 = 24 . using Gaussian elimination and explain why this system must have inﬁnitely many solutions. Problem 5 By solving a 3 × 3 system, ﬁnd the coeﬃcients in the equation of the parabola y = α + βx + γx 2 that passes through the points (1 , 1), (2 , 2), and (3 , 0). Problem 6 Explain why a linear system can never have exactly two diﬀerent solutions. Extend your argument to explain the fact that if a system has more than one solution, then it must have inﬁnitely many diﬀerent solutions. 2...
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This note was uploaded on 04/22/2010 for the course MATH 21001 taught by Professor Staff during the Spring '08 term at Kent State.
 Spring '08
 Staff
 Math, Linear Algebra, Algebra

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