Solved: The following linear systems Ax = b have x as the actual solution and x as an
Chapter 7, Problem 7.4.3(choose chapter or problem)
The following linear systems Ax = b have x as the actual solution and x as an approximate solution. Using the results of Exercise 1, compute x x and K(A) b Ax A . a. 1 2 x1 + 1 3 x2 = 1 63 , 1 3 x1 + 1 4 x2 = 1 168 , x = 1 7 , 1 6 t , x = (0.142, 0.166)t . b. 3.9x1 + 1.6x2 = 5.5, 6.8x1 + 2.9x2 = 9.7, x = (1, 1)t , x = (0.98, 1.1)t . c. x1 + 2x2 = 3, 1.0001x1 + 2x2 = 3.0001, x = (1, 1)t , x = (0.96, 1.02)t . d. 1.003x1 + 58.09x2 = 68.12, 5.550x1 + 321.8x2 = 377.3, x = (10, 1)t , x = (10, 1)t
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