The network is sender to A is $100,$ A to B is connected by x$1.$ A is connected to E by x$2$m$.$ Sender is connected to C is $50.$ C to E is x$3.$ E is connected to D by x$4.$ C is connected to D by x$5.$ B is connected to E by X$5.$ B is connected to receiver by X$3.$ D is connected to B by X$2.$ D is connected to receiver by $120.$ A is connected to C by x$2.$ In this project, you will analyze the communication network and solve for the unknown data rates using a variety of techniques. The syste

linear equations by writing an equation for each node$/$router in the network. Each of these equations can be written by noting that the su

To complete the project, work on the problems described below. As you complete each part, show your work and carefully describe how y

conclusions need to be clear when sharing your results with management. Any MATLAB code or MATLAB terminal outputs you generate

support your answers and work.

$1.$ Develop a system of linear equations for the network by writing an equation for each router $($A$,$ B$,$ C$,$ D$,$ and E$).$ Make sure to write y

coefficient matrix, is the vector of unknowns, and is a vector of constants.

$2.$ Use MATLAB to construct the augmented matrix and then perform row reduction using the rref$()$ function. Write out your

variables of the system.

$3.$ Use MATLAB to compute the LU decomposition of $,$ i$.$e$.,$ find $.$ For this decomposition, find the transformed set of equ

for the unknown vector $.$

$4.$ Use MATLAB to compute the inverse of using the inv$()$ function.

$5.$ Compute the solution to the original system of equations by transforming into $,$ i$.$e$.,$ compute $.$

$6.$ Check your answer for using Cramer$$s Rule.

$7.$ Use MATLAB to compute the required determinants using the det$()$ function. The Project One Table Template, provided in the Supp

throughput capacity of each link in the network. Put your solution for the system of equations in the third column so it can be easily

column. In the fourth column of the table, provide recommendations for how the network should be modified based on your netwo

options can be No Change, Remove Link, or Upgrade Link. In the final column, explain how you arrived at your recommendation.