Example 2 (a) Determine the LU factorization for matrix A in the linear system Ax = b, where 1 1 3 -1 1 and be 3 -1 2 -1 -1 1 2 3 4 (b) Then use the factorization to solve the system X + x2 + 3x4 8, 2x1 + x2 - X3 + X4 = 7, 3x1 - X2 - X3 + 2x4 = 14, -XI + 2x2 + 3x3 - x4 = -7.
Example 2 (a) Determine the LU factorization for matrix A in the linear system Ax = b, where 1 1 3 -1 1 and be 3 -1 2 -1 -1 1 2 3 4 (b) Then use the factorization to solve the system X + x2 + 3x4 8, 2x1 + x2 - X3 + X4 = 7, 3x1 - X2 - X3 + 2x4 = 14, -XI + 2x2 + 3x3 - x4 = -7.
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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