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3. Let a linear equation system Ax = b with its coefficient matrix: 1 2 1 1 1 2 A = 2 1 3 b= 2 3 (a) Please find a lower triangular matrix L and an upper triangular matrix U so that matrix A can be represented as a product of LU. Such a representation of a matrix A is called as LU factorization. (b) Apply the result in (a) to solve the solution of Ax = b.

3. Let a linear equation system Ax = b with its coefficient matrix: 1 2 1 1 1 2 A = 2 1 3 b= 2 3 (a) Please find a lower triangular matrix L and an upper triangular matrix U so that matrix A can be represented as a product of LU. Such a representation of a matrix A is called as LU factorization. (b) Apply the result in (a) to solve the solution of Ax = b.

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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3. Let a linear equation system Ax = b with its coefficient matrix: 2 1 1 2 1 A = 2 1 13 b = 2 (a) Please find a lower triangular matrix L and an upper triangular matrix U so that matrix A can be represented as a product of LU. Such a representation of a matrix A is called as LU factorization. (b) Apply the result in (a) to solve the solution of Ax = b.
Transcribed Image Text:3. Let a linear equation system Ax = b with its coefficient matrix: 2 1 1 2 1 A = 2 1 13 b = 2 (a) Please find a lower triangular matrix L and an upper triangular matrix U so that matrix A can be represented as a product of LU. Such a representation of a matrix A is called as LU factorization. (b) Apply the result in (a) to solve the solution of Ax = b.
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