[2 1 -4 Consider A =6 3 -11 L2 2 -2 (a) Show that A does not have an LU decomposition. (b) Re-order the rows of A and find an LU decomposition of the new matrix. (c) Hence solve 2x1 + x2 - 4x3 =-5 6x, + 3x2 - 11x3 = 4 2x, + 2x2 - 2x3 = 10 %3D
[2 1 -4 Consider A =6 3 -11 L2 2 -2 (a) Show that A does not have an LU decomposition. (b) Re-order the rows of A and find an LU decomposition of the new matrix. (c) Hence solve 2x1 + x2 - 4x3 =-5 6x, + 3x2 - 11x3 = 4 2x, + 2x2 - 2x3 = 10 %3D
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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