(Solution) - The following linear systems Ax b have x as -(2025 Original AI-Free Solution)

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The following linear systems Ax = b have x as the actual solution and as an approximate solution. Using the results of Exercise 2, compute

a. 0.03x1 + 58.9x2 = 59.2,
5.31x1 ? 6.10x2 = 47.0,
x = (10, 1)t ,
= (30.0, 0.990)t .
b. 58.9x1 + 0.03x2 = 59.2,
?6.10x1 + 5.31x2 = 47.0,
x = (1, 10)t ,
= (1.02, 9.98)t .
c. x1 ? x2 ? x3 = 2?,
x2 ? x3 = 0,
? x3 = ?.
x = (0,??,??)t ,
= (?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 ,
= (1.8, 0.64, 1.9)t .