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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
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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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
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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