Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. A = y = 4 -7 -4 -4 3 3 12 -5 -9 X = = 1 -1 00 10 3 - 4 1 Let Ly= b and Ux=y. Solve for x and y. 4 -7 -4 0 -4 -1 0 0-1 Row reduce the augmented matrix [A b] and use it to find x. The reduced echelon form of [A b] is, yielding x = 4 - 15 61
Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. A = y = 4 -7 -4 -4 3 3 12 -5 -9 X = = 1 -1 00 10 3 - 4 1 Let Ly= b and Ux=y. Solve for x and y. 4 -7 -4 0 -4 -1 0 0-1 Row reduce the augmented matrix [A b] and use it to find x. The reduced echelon form of [A b] is, yielding x = 4 - 15 61
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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Question
![Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row
reduction.
A =
y =
4 - 7
- 4 3
12 - 5
X =
4
3
-9
=
1
-1
00
10
3 - 4 1
Let Ly = b and Ux=y. Solve for x and y.
4 -7 -4
0 -4 - 1
0 0 - 1
Row reduce the augmented matrix [A b] and use it to find x.
The reduced echelon form of [A b] is
yielding x =
4
- 15
61](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bfda259-7429-4717-b69c-7067c249bba0%2Fd01c3372-5014-4573-a03c-bcf55066b05a%2Fkv5ck7n_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row
reduction.
A =
y =
4 - 7
- 4 3
12 - 5
X =
4
3
-9
=
1
-1
00
10
3 - 4 1
Let Ly = b and Ux=y. Solve for x and y.
4 -7 -4
0 -4 - 1
0 0 - 1
Row reduce the augmented matrix [A b] and use it to find x.
The reduced echelon form of [A b] is
yielding x =
4
- 15
61
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