An of Q3

Problem 4. (20%) Use Gauss elimination to compute the LU-decomposition of the matrix A, in Problem 3 for the case n = 3. Let f be the vector f = (5,3,6)". Using the matrices L and U found above, solve Lg = f, followed by Ux=g. (You can check your answer, by verifying that x indeed satisfies the equation A3x = f.) (This problem does not require programming; it can be done with pencil and paper.) 2 1 2-(n-2) 2 2-(n-3) 2-in-2) 2-1 2-2 2-3 2-4 1 2-1 2-2 2-3 2 1 2-1 2-2 2-n-2) 2-(n-3) 2-in-4) 2-1 2-2 2-3 2-4 2-5 2-(n-2) 2 Problem 4. (20%) Use Gauss elimination to compute the LU-decomposition of the matrix A, in Problem 3 for the case n = 3. Let f be the vector f = (5,3,6)". Using the matrices L and U found above, solve Lg = f, followed by Ux=g. (You can check your answer, by verifying that x indeed satisfies the equation A3x = f.) (This problem does not require programming; it can be done with pencil and paper.) 2 1 2-(n-2) 2 2-(n-3) 2-in-2) 2-1 2-2 2-3 2-4 1 2-1 2-2 2-3 2 1 2-1 2-2 2-n-2) 2-(n-3) 2-in-4) 2-1 2-2 2-3 2-4 2-5 2-(n-2) 2