Use Crout factorization for tri diagonal systems to solve the following linear systems.
a. 2x1 + x2 = 3,
x1 + 2x2+ x3 = −2,
2x2+3x3 = 0.
b. 2x1 − x2 = 5,
−x1 + 3x2 + x3 = 4,
x2 + 4x3 = 0.
c. 2x1 − x2 = 3,
x1 + 2x2 − x3 = 4,
x2 − 2x3+ x4 = 0,
x3+2x4 = 6.
d. 2x1 − x2 = 1,
x1 + 2x2 − x3 = 2,
2x2 + 4x3 − x4 = −1,
2x4− x5 = −2,
x4+2x5 = −1.