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Given the tridiagonal matrix [1.14 0.399 0.19 1.3465 1.1136 0. 0.38 1.7006 0.0548 0. 0. 0.59 1.9336 work out the values 4,i-1,...,4 and u, i-1,...,3 in the LU factorisation A-LU with 0. [1 ul 0.19 12 0. 0. u2 0.38 13 1 u3 0.59 14 1 Use the LU factorisation to solve the system Ar b with 2.24979 -1.246389 -3.996612 3.719144 for z, i 1,..,4 Use at least 6 decimal places for your calculations and specity your final results to 2 decimal places. (a) 4 (b) u1 (C) I1

Given the tridiagonal matrix [1.14 0.399 0.19 1.3465 1.1136 0. 0.38 1.7006 0.0548 0. 0. 0.59 1.9336 work out the values 4,i-1,...,4 and u, i-1,...,3 in the LU factorisation A-LU with 0. [1 ul 0.19 12 0. 0. u2 0.38 13 1 u3 0.59 14 1 Use the LU factorisation to solve the system Ar b with 2.24979 -1.246389 -3.996612 3.719144 for z, i 1,..,4 Use at least 6 decimal places for your calculations and specity your final results to 2 decimal places. (a) 4 (b) u1 (C) I1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The Questions Question 5. Given the tridiagonal matrix [1.14 0.399 0. 0.19 1.3465 1.1136 0. in 1 ete 0.38 1.7006 0.0548 in 2 0.59 1.9336 ete work out the values 4,i- 1,...,4 and u, i-1,...,3 in the LU factorisation A-LUwith n 3 te 0. [1 ul 0.19 12 0. 0 1 u2 n 4 L- le 0.38 13 0. 1 u3 0. 0.59 14 0. en 5 ete Use the LU factorisation to solve the system Az b with -2.24979 -1.246389 -3.996612 3.719144 for z,, i- 1,.. ,4 Use at least 6 decimal places for your calculations and specity your final results to 2 decimal places (a) l (b) (C) 1 ENG 40 D @へ 8/-N-0
Transcribed Image Text:The Questions Question 5. Given the tridiagonal matrix [1.14 0.399 0. 0.19 1.3465 1.1136 0. in 1 ete 0.38 1.7006 0.0548 in 2 0.59 1.9336 ete work out the values 4,i- 1,...,4 and u, i-1,...,3 in the LU factorisation A-LUwith n 3 te 0. [1 ul 0.19 12 0. 0 1 u2 n 4 L- le 0.38 13 0. 1 u3 0. 0.59 14 0. en 5 ete Use the LU factorisation to solve the system Az b with -2.24979 -1.246389 -3.996612 3.719144 for z,, i- 1,.. ,4 Use at least 6 decimal places for your calculations and specity your final results to 2 decimal places (a) l (b) (C) 1 ENG 40 D @へ 8/-N-0
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