Consider the linear system of equations Ax = b where A, together with its LU decomposition, is given below: -1.4916 2.3505 -0.1924] 1 1.4916 2.3505 -0.1924 A = -0.7423 -0.6156 0.8886 0.4977 1 -1.7853 0.9844 -1.0616 0.7481 -0.7648 [0.7117 0.5180 ㅇ -1.1378 and b = [1,4, 9]T. Use the LU decomposition to determine x and show your work.
Consider the linear system of equations Ax = b where A, together with its LU decomposition, is given below: -1.4916 2.3505 -0.1924] 1 1.4916 2.3505 -0.1924 A = -0.7423 -0.6156 0.8886 0.4977 1 -1.7853 0.9844 -1.0616 0.7481 -0.7648 [0.7117 0.5180 ㅇ -1.1378 and b = [1,4, 9]T. Use the LU decomposition to determine x and show your work.
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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![Consider the linear system of equations Ax
= b where A, together with its
LU decomposition, is given below:
-1.4916
2.3505
-0.1924]
1
1.4916
2.3505
-0.1924
A =
-0.7423 -0.6156
0.8886
0.4977
1
-1.7853
0.9844
-1.0616
0.7481
-0.7648
[0.7117
0.5180
ㅇ
-1.1378
and b = [1,4, 9]T. Use the LU decomposition to determine x and show your work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a20e8bb-5b47-4781-b64d-5b59b5c04ad9%2Fd2fc65fe-4f08-4887-9ff0-dafde4162881%2F6avo9z_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the linear system of equations Ax
= b where A, together with its
LU decomposition, is given below:
-1.4916
2.3505
-0.1924]
1
1.4916
2.3505
-0.1924
A =
-0.7423 -0.6156
0.8886
0.4977
1
-1.7853
0.9844
-1.0616
0.7481
-0.7648
[0.7117
0.5180
ㅇ
-1.1378
and b = [1,4, 9]T. Use the LU decomposition to determine x and show your work.
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