Write and test a procedure for implementing the algorithms of Problem 14.

Verity thal ) where aii0. 14. Consider the matrix A = tridiagonal (ai,i-l , aii, ai, i+1 "a. Establish the algorithm real array (aijhnxn Ci)nxn. (uij)nxn integer i, n for i = 2 to 4 do Iii-1 aii-1 end for fordeterminingthe elements of a lower tridiagonal matrix L =(4) anda unit upper tridiagonal matrix U = (uij) such that A = LU. b. Establish the algorithm real array (aj)nxn (linxn,(ui.j)nxn integer i, n