Solved: The following linear systems Ax = b have x as the actual solution and x as an
Chapter 7, Problem 7.4.4(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 2, compute x x and K(A) b Ax A . a. 0.03x1 + 58.9x2 = 59.2, 5.31x1 6.10x2 = 47.0, x = (10, 1)t , x = (30.0, 0.990)t . b. 58.9x1 + 0.03x2 = 59.2, 6.10x1 + 5.31x2 = 47.0, x = (1, 10)t , x = (1.02, 9.98)t . c. x1 x2 x3 = 2, x2 x3 = 0, x3 = . x = (0, , )t , x = (0.1, 3.15, 3.14)t . d. 0.04x1 + 0.01x2 0.01x3 = 0.06, 0.2x1 + 0.5x2 0.2x3 = 0.3, x1 + 2x2 + 4x3 = 11, x = (1.827586, 0.6551724, 1.965517)t , x = (1.8, 0.64, 1.9)t .
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