linear_algebra

#Homework 5 2.)

The LU decomposition is excuted by the functions lu_tridiag.m. The function solve_tridiag.m solves the x vector in the equation Ax = B The test_array.m function then creates the matrixs that will be decomposed.

3.)

The table below compares the error between the created code and AN\b

size of A	norm(error)
3	2.341457211866148746537419356
4	1.5089317413322578254053496494
5	2.718353701243559239486557999
6	2.9952458816401601460199799476
7	2.1975878506014523416922656907
8	2.2726826857500208589613066579
9	1.2565685195978946175898727233
10	0.0000000000000001092738104726

#Spring Mass System [This file shows the caclations to arrive at a final matrix.]

(Spring Mass System.PNG)