(7 points) Consider the following linear system S 2w + x + y +z = a w+y+z= b W+y= 2 (a) (3 points) Determine the dimension of the space of the solutions and the set of solutions of system S employing Gaussian elimination. (b) (4 points) Assume that a fourth equation w + ky 1, […]
How long does it take approximately (in years) for Supercomputer Fugaku to com- plete a LU factorization for a square matrix with n = 108? How about n = 109, n = 1010?
MATH 3510 FALL 2021 HOMEWORK 4 Instructions: For proof-based questions, write your answers on your own papers. For pro-gramming questions, submit your codes using MATLAB Grader. Hand in your homework(written part) on Wednesday, October 6 in class. 1. Write a MATLAB function to perform the LU factorization (without pivoting). Yourinput should be a nonsingular n […]