Write a computer code that uses Gaussian Elimination and Back Substitution to solve the following linear symmetric tridiagonal system of N equations and N unknowns (written in matrix form)

In these equations, the values of the four unknowns:

N = the number of equations (and unknowns),

a = the diagonal coefficients,

b = the super- and sub-diagonal elements,

q = the source coefficients should be specified in separate input lines.

Write your code so that the output is formatted as: x1 = (numerical value) x2 = (numerical value) . . . xN = (numerical value)

ab 0 . -b a b 0 0 -b a -b 0 -b 0 TN-1 0