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 li,i = 1,...,4 and u;, i = 1,...,3 in the LU factorisation A = LU with %3D %3D 11 1 ul L = 0.91 12 1 u2 ,U = %3D 0.11 13 1 u3 0.93 14 1 Use the LU factorisation to solve the system Ar b with %3D -0.327376 3.465528 %3D 3.081574 -3.456302 for i, i = 1, ..., 4 %3D Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 12- 13 = %3D %3D (b) u1 = u3 = (c) rị =
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 li,i = 1,...,4 and u;, i = 1,...,3 in the LU factorisation A = LU with %3D %3D 11 1 ul L = 0.91 12 1 u2 ,U = %3D 0.11 13 1 u3 0.93 14 1 Use the LU factorisation to solve the system Ar b with %3D -0.327376 3.465528 %3D 3.081574 -3.456302 for i, i = 1, ..., 4 %3D Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 12- 13 = %3D %3D (b) u1 = u3 = (c) rị =
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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![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
11
1
ul
0.91
12
1
u2
L =
,U
0.11
13
1
u3
0.93 14]
1
Use the LU factorisation to solve the system Ax = b with
-0.327376
3.465528
b =
3.081574
-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 =
4=
(b) u1 =
u2 =
u3 =
(c) 21 =
,2 =
, 24 =
Type here to search
acer
立](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9b401c3-0ebe-4b5e-81a0-2ebccfee3795%2F09160ddb-6624-4dd8-8833-b3c550260f4b%2F6zjiaec_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
11
1
ul
0.91
12
1
u2
L =
,U
0.11
13
1
u3
0.93 14]
1
Use the LU factorisation to solve the system Ax = b with
-0.327376
3.465528
b =
3.081574
-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 =
4=
(b) u1 =
u2 =
u3 =
(c) 21 =
,2 =
, 24 =
Type here to search
acer
立
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