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 1 -1.1378 and b = [1,4,91T. 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 1 -1.1378 and b = [1,4,91T. 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 1
-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%2F55deb655-5981-46e9-be27-793c37014d51%2Ffb3791ec-2900-43d1-b1f0-9d9c01b8ea93%2Foe1zi0k_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 1
-1.1378
and b = [1,4, 9]T. Use the LU decomposition to determine x and show your work.
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