MAT 350 Project One Template 2024 with complete solution;SNHU

MAT 350 Project One Template 2024 with complete solution;SNHU Problem 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 your final answer as Ax=b where A is the 5x5 coefficient matrix, x is the 5x1 vector of unknowns, and b is a 5x1 vector of constants. Problem 2 Use MATLAB to construct the augmented matrix [A b] and then perform row reduction using the rref() function. Write out your reduced matrix and identify the free and basic variables of the system. Problem 3 Use MATLAB to compute the LU decomposition of A, i.e., find A = LU. For this decomposition, find the transformed set of equations Ly = b, where y = Ux. Solve the system of equations Ly = b for the unknown vector y. Problem 4 Use MATLAB to compute the inverse of U using the inv() function Problem 5 Compute the solution to the original system of equations by transforming y into x, i.e., compute x = inv(U)y. Problem 6 Check your answer for using Cramer’s Rule. Use MATLAB to compute the required determinants using the det() function. Solution: Problem 7 The Project One Table Template, provided in the Project One Supporting Materials section in Brightspace, shows the recommended 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 compared to the maximum capacity in the second column. In the fourth column of the table, provide recommendations for how the network should be modified based on your network throughput analysis findings. The modification options can be No Change, Remove Link, or Upgrade Link. In the final column, explain how you arrived at your recommendation.