Question 2 [10 points] Solve the tridiagonal system by first computing an LU factorization of the
coefficient matrix and then using the LU factorization to solve the system.
2x1 + x2 = 3
−x1 + 2x2 + x3 = 2
−x2 + 2x3 + x4 = 2
−x3 + 2x4 + x5 = 2
−x4 + 2x5 = 1
