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
icon
Related questions
Question
Plz solve this now in 30 min Solve this now in 30 min and take a thumb up plz plz i need perfect soloution in 30 min and take a thumb up plz . Plz solve perfectly and give me exact answer
Given the tridiagonal matrix
1.97 1.5366
0.13 1.9514
1.665
0.95
2.285 0.3146
0.17
1.7974
work out the values 4, i=1,...,4 and u, i=1,...,3 in the LU factorisation A= LUwith
11
1
ul
0.13
12
0.
0.
u2
L=
0.95
13
1
u3
0.17 14
1
Use the LU factorisation to solve the system Ar = bwith
-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) u
(c) I
0
Transcribed Image Text:Given the tridiagonal matrix 1.97 1.5366 0.13 1.9514 1.665 0.95 2.285 0.3146 0.17 1.7974 work out the values 4, i=1,...,4 and u, i=1,...,3 in the LU factorisation A= LUwith 11 1 ul 0.13 12 0. 0. u2 L= 0.95 13 1 u3 0.17 14 1 Use the LU factorisation to solve the system Ar = bwith -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) u (c) I 0
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage