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By factorization, we noted in the LU Decomposition method of solving linear systems (i.e., typically Ax = b) that A = LU where Ly= b and Ux=y to solve the system. Given the matrices A and U, what are the values of a and u? Assume that the matrix will have a consistent and unique solution (no other assumptions are made). Show all solutions and explanations. A = 3 1 1 1 3 a 1 1 3 U = 3 0 0 1 8/3 u 0 5/2

By factorization, we noted in the LU Decomposition method of solving linear systems (i.e., typically Ax = b) that A = LU where Ly= b and Ux=y to solve the system. Given the matrices A and U, what are the values of a and u? Assume that the matrix will have a consistent and unique solution (no other assumptions are made). Show all solutions and explanations. A = 3 1 1 1 3 a 1 1 3 U = 3 0 0 1 8/3 u 0 5/2

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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By factorization, we noted in the LU Decomposition method of solving linear systems (i.e., typically Ax = b) that A = LU where Ly' = b and Ux'= y to solve the system. Given the matrices A and U, what are the values of a and u? Assume that the matrix will have a consistent and unique solution (no other assumptions are made). Show all solutions and explanations. A = = 3 1 1 1 3 a 1 1 3 U = 3 0 0 1 8/3 0 1 u 5/2
Transcribed Image Text:By factorization, we noted in the LU Decomposition method of solving linear systems (i.e., typically Ax = b) that A = LU where Ly' = b and Ux'= y to solve the system. Given the matrices A and U, what are the values of a and u? Assume that the matrix will have a consistent and unique solution (no other assumptions are made). Show all solutions and explanations. A = = 3 1 1 1 3 a 1 1 3 U = 3 0 0 1 8/3 0 1 u 5/2
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