Solved: The exact solution of the system 0.6000x1 + 2000x2 = 2003 0.3076x1 0.4010x2 =

Chapter 7, Problem 7

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The exact solution of the system 0.6000x1 + 2000x2 = 2003 0.3076x1 0.4010x2 = 1.137 is x = (5, 1)T . Suppose that the calculated value of x2 is x 2 = 1 + e. Use this value in the first equation and solve for x1. What will the error be? Calculate the relative error in x1 if e = 0.001.

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