Use Algorithm 6.1 and Maple with Digits: = 10 to solve the following linear systems.
a. 12 x1 + 1/4 x2 - 1/8 x3 = 0,
1/3 x1 - 1/6 x2 + 1/9 x3 = 1,
1/7 x1 + 1/7 x2 + 1/10 x3 = 2
b. 2.71x1 + x2 + 1032x3 = 12,
4.12x1 − x2 + 500x3 = 11.49,
3.33x1 + 2x2 − 200x3 = 41
c. πx1 +√2x2 − x3 + x4= 0,
ex1 − x2 + x3 + 2x4 =1,
x1 + x2 −√3x3 + x4 =2,
−x1 − x2 + x3 −√5x4 =3.
d. x1 + x2 − x3 + x4 − x5 = 2,
2x1 + 2x2 + x3 − x4 + x5 = 4,
3x1 + x2 − 3x3 − 2x4 + 3x5 = 8,
4x1 + x2 − x3 + 4x4 − 5x5 = 16,
16x1 − x2 + x3 − x4 − x5 = 32