Question 5. Given the tridiagonal matrix 1.58 0.6004 0. 0.91 1.9458 1.296 0.11 1.5491 0.8614 0. 0.93 2.0687 work out the values l, i = 1,...,4 and u;, i = 1,...,3 in the LU factorisation A = LU with 0 0 ri ul 0 1 11
Question 5. Given the tridiagonal matrix 1.58 0.6004 0. 0.91 1.9458 1.296 0.11 1.5491 0.8614 0. 0.93 2.0687 work out the values l, i = 1,...,4 and u;, i = 1,...,3 in the LU factorisation A = LU with 0 0 ri ul 0 1 11
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 6AEXP
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Transcribed Image Text:Question 5.
Given the tridiagonal matrix
[1.58 0.6004
0.91
1.9458
1.296
0.11
1.5491 0.8614
0.93
2.0687
work out the values l;, i = 1,...,4 and u;, i = 1,..., 3 in the LU factorisation A = LU with
3
l1
r1
ul
0.91
12
0.
U =
4
1
u2
L =
0.11
13
1
из
15
0.93
14
1
e
Use the LU factorisation to solve the system Ax = b with
-0.327376
3.465528
b =
3.081574
L-3.456302
for ri, i = 1, ...,4
Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places.
(a) l1 =
l2 =
l3 =
14
(b) uj =
u2 =
uz =
(c) 1 =
23 =
P Type here to search
1080
acer
F6
F8
DIO
A
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