Suppose we have a n Xn linear system A7 = 6, but that the coefficient matrix A is not strictly diagonally dominant. Suppose that the system can not be re-arranged so that A is strictly diagonally dominant either. Suppose further that we apply the Jacobi method to this system with a very good initial approximation to the solution of the system, and that no mistakes are made. Then, the Jacobi method may generate a sequence of approximations that converges to the true solution of the system. True OFalse Reset Selection
Suppose we have a n Xn linear system A7 = 6, but that the coefficient matrix A is not strictly diagonally dominant. Suppose that the system can not be re-arranged so that A is strictly diagonally dominant either. Suppose further that we apply the Jacobi method to this system with a very good initial approximation to the solution of the system, and that no mistakes are made. Then, the Jacobi method may generate a sequence of approximations that converges to the true solution of the system. True OFalse Reset Selection
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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