Given: 2a + 5b + 3c = 2 3a + b - 2c = 3 -a + 2b + c = 1 Instruction: a. Find the lower and upper triangular matrices by applying the Doolittle's and Crout's method b. Use any decomposition A = LU from your answer in a, then find the system Ax = b by applying the forward then backward substitution
Given: 2a + 5b + 3c = 2 3a + b - 2c = 3 -a + 2b + c = 1 Instruction: a. Find the lower and upper triangular matrices by applying the Doolittle's and Crout's method b. Use any decomposition A = LU from your answer in a, then find the system Ax = b by applying the forward then backward substitution
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
Given:
2a + 5b + 3c = 2
3a + b - 2c = 3
-a + 2b + c = 1
Instruction:
a. Find the lower and upper triangular matrices by applying the Doolittle's and Crout's method
b. Use any decomposition A = LU from your answer in a, then find the system Ax = b by applying the forward then backward substitution
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