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6. Let b = 8 30 and A = 1 -6 -3 3 -11 -22 14 32 -48 -1 the LU-decomposition of A. Use the following steps to solve the system Ax = b by using (a) Find the LU-decomposition of A, A = LU. (b) Solve Ly= b by forward substition. (c) Solve Ux=y by back substition. (d) Find the solution of Ax = b.

6. Let b = 8 30 and A = 1 -6 -3 3 -11 -22 14 32 -48 -1 the LU-decomposition of A. Use the following steps to solve the system Ax = b by using (a) Find the LU-decomposition of A, A = LU. (b) Solve Ly= b by forward substition. (c) Solve Ux=y by back substition. (d) Find the solution of Ax = b.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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8 30 and A= -48 the LU-decomposition of A. 6. Let b = 1 -3 3 -11 -1 14 32 -6 -22. Use the following steps to solve the system Ax = b by using (a) Find the LU-decomposition of A, A = LU. (b) Solve Ly= b by forward substition. (c) Solve Ux = y by back substition. (d) Find the solution of Ax = b. N
Transcribed Image Text:8 30 and A= -48 the LU-decomposition of A. 6. Let b = 1 -3 3 -11 -1 14 32 -6 -22. Use the following steps to solve the system Ax = b by using (a) Find the LU-decomposition of A, A = LU. (b) Solve Ly= b by forward substition. (c) Solve Ux = y by back substition. (d) Find the solution of Ax = b. N
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