Use Algorithm 6.1 and Maple with Digits:= 10 to solve the following linear systems.
a. 1/4 x1 + 1/5 x2 + 1/6 x3 = 9,
1/3 x1 + 1/4 x2 + 1/5 x3 = 8,
1/2 x1 + x2 + 2x3 = 8
b. 3.333x1 + 15920x2 − 10.333x3 = 15913,
2.222x1 + 16.71x2 + 9.612x3 = 28.544,
1.5611x1 + 5.1791x2 + 1.6852x3 = 8.4254.
c. x1 + 1/2 x2 + 1/3 x3 + 1/4 x4=1/6 ,
1/2 x1 + 1/3 x2 + 1/4 x3 + 1/5 x4=1/7,
1/3 x1 + 1/4 x2 + 1/5 x3 + 1/6 x4=1/8,
1/4 x1 + 1/5 x2 + 1/6 x3 + 1/7 x4=1/9
d. 2x1 + x2 − x3 + x4 − 3x5 = 7,
x1 + 2x3 − x4 + x5 = 2,
− 2x2 − x3 + x4 − x5 = −5,
3x1 + x2 − 4x3 + 5x5 = 6,
x1 − x2 − x3 − x4 + x5 = 3.