This problem is designed to help you achieve the following course objective:

Solve linear algebraic equations using Gauss elimination, LU decomposition, and the Gauss-Seidel method; as well as perform pivoting to reduce error; explain the differences between the methods and understand the advantages of the methods.

Problem Description: Read Chapter 8, "Linear Algebraic Equations and Matrices," in Chapra's textbook.

Perform the same computation as in Example 8.2, but with the mass of the top jumper 65 kg instead of 60 kg. The characteristics (mass of jumpers, spring constant of cords, etc.) will be provided as input to your function.

Hint: Use the backslash, or "left-division" operator "\" in MATLAB to solve the resulting system of linear equations. Read Chapra Chapter 8.2 for details.

Given Code

function [x,xf]=Chapra_E8_2(m,k,L,g)

%% Input

% m: masses of 3 jumpers (vector)

% k: spring constants of 3 bungee chords (vector)

% L: unstretched length of each bungee chord (assuming all the bungee chords have the same length) (scalar)

% g: gravitational constant (scalar)

%

%% Output

% x: bungee jumper displacements relative to starting location (vector)

% xf: jumper equilibrium positions relative to the anchor point

% of the top bungee chord (vector)

% See Figure 8.6 in Chapra's textbook.

%% Write your code here.

end