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Writing A = LU to solve Ax = (LU) x = b, we obtain two systems: Ux = y and Ly = b. Consider the system %3D 2 3 -1 2 Ax = b as 4 4 -1 12 -2 -3 4 13 (i) Obtain L and U for A . (ii) Then solve Ly = b for y.

Writing A = LU to solve Ax = (LU) x = b, we obtain two systems: Ux = y and Ly = b. Consider the system %3D 2 3 -1 2 Ax = b as 4 4 -1 12 -2 -3 4 13 (i) Obtain L and U for A . (ii) Then solve Ly = b for y.

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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Writing A = LU to solve Ax = (LU)x = b, we obtain two systems: Ux = y and Ly = b. Consider the system 3 -1 I1 2 Ax = b 4 4 -1 as T2 -2 -3 4 T3 (i) Obtain L and U (ii) Then solve Ly = b for y. for A .
Transcribed Image Text:Writing A = LU to solve Ax = (LU)x = b, we obtain two systems: Ux = y and Ly = b. Consider the system 3 -1 I1 2 Ax = b 4 4 -1 as T2 -2 -3 4 T3 (i) Obtain L and U (ii) Then solve Ly = b for y. for A .
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