The Questions Question 5. Given the tridiagonal matrix [1.24 0.2232 0.02 1.8336 1.7751 0.39 2.3583 0.1188 0.03 1.3918 work out the values I,, i 1,..4 and u,i 1,..,3 in the LU factorisation ALU with 11 1 ul 0.02 12 u2 0.39 13 u3 0.03 14, 5+ te Use the LU factorisation to solve the system Ar b with 0.43648 7.912091 7.168095 -5.490818 for a, i1,...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a)- (b) (c) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Related questions
Question
The Questions O
Compun
(mam2-altoubi) DewisU
VE
E
stol
The Questions
mation
Question 5.
it All
wers
Given the tridiagonal matrix
[1.24 0.2232
0.02 1.8336 1.7751
Left
stion 1
0.39
2.3583 0.1188
paMsu
0.03
1.3918
estion 2
wnswered
work out the values I,, i = 1,...,4 and u, i= 1,...,3 in the LU factorisation A= LU with
estion 3
answered
07
ri ul 0
07
0.02
12
0.
0 1
U=
u2
pestion 4
complete
L =
0.39
13
0 0
u3
0.03 14
uestion 5 +
ot complete
1
Use the LU factorisation to solve the system Ar = b with
0.43648
7.912091
b 3=
7.168095
-5.490818
for z,i=1,....4
Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places.
(a) -
. Ig = O.4 = O
(b) u =
(c) z1=
z3 - O. z3 = O. = O
Transcribed Image Text:The Questions O Compun (mam2-altoubi) DewisU VE E stol The Questions mation Question 5. it All wers Given the tridiagonal matrix [1.24 0.2232 0.02 1.8336 1.7751 Left stion 1 0.39 2.3583 0.1188 paMsu 0.03 1.3918 estion 2 wnswered work out the values I,, i = 1,...,4 and u, i= 1,...,3 in the LU factorisation A= LU with estion 3 answered 07 ri ul 0 07 0.02 12 0. 0 1 U= u2 pestion 4 complete L = 0.39 13 0 0 u3 0.03 14 uestion 5 + ot complete 1 Use the LU factorisation to solve the system Ar = b with 0.43648 7.912091 b 3= 7.168095 -5.490818 for z,i=1,....4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) - . Ig = O.4 = O (b) u = (c) z1= z3 - O. z3 = O. = O
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