Given the tridiagonal matrix 1.97 1.5366 0. 0. 0.13 1.9514 1.665 0. 0.95 2.285 0.3146 0.17 1.7974 work out the values 4,i=1,..,4 and t, i-1,...,3 in the LU factorisation A= LU with !3! ..... 11 0. 0. ul 0.13 12 0. 1 u2 L= 0. 13 ,U 0.95 1 u3 0. 0. 0.17 14 Use the LU factorisation to solve the system Ar b with 9.484368 1.473878 2.956984 8.066254 for , i 1,..., 4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places (a) (b) ui u2 (c) *1
Given the tridiagonal matrix 1.97 1.5366 0. 0. 0.13 1.9514 1.665 0. 0.95 2.285 0.3146 0.17 1.7974 work out the values 4,i=1,..,4 and t, i-1,...,3 in the LU factorisation A= LU with !3! ..... 11 0. 0. ul 0.13 12 0. 1 u2 L= 0. 13 ,U 0.95 1 u3 0. 0. 0.17 14 Use the LU factorisation to solve the system Ar b with 9.484368 1.473878 2.956984 8.066254 for , i 1,..., 4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places (a) (b) ui u2 (c) *1
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 70EQ
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