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


a. 1/2 x1 + 1/3x2 = 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 .