Question

Need Help on Matlab

matrix system. Have your code return the solution x and show this solution in a command prompt printout. Note that you can, of course, check your answer easily with the Matlab backslash command, A\b. Naive LU Decomposition Now, starting with your functioning Gauss Elimination code, modify it to keep the factors in the same matrix that it is passed. You of course will not modify the b-vector. Have this code return the L and U matrices in a single matrix. Note that Matlab's lu() will also do this, but mav perform row swapping (so you need to be careful with direct comparisons). Decompose the given 3x3 A matrix (above), and confirm your correct decomposition by computing LU = A. Provide a command prompt printout. Then write a solver and use the LU solution technique to solve the (above) 3x3 system. Again, show this work with a printout of the command prompt window. Specifically, the technique first solves L d = b for d by back substitution, then U x = d for x by forward substitution. Test your code on a 4x4 system. Insure proper functioning of both your codes by solving the following system (again, you can easily find the correct answer using Matlab's A\b command)(3 -13 3) (x1) (-19) (-6 4 1 -18)(x2) = (-34) (6 -2 2 4)(x3) (16) (12 -8 6 10)(x4) (26) Provide a command prompt printout of this solution.