1. (a) Solve \( Ax = b \) where \( b = [3, 5]' \) and \( A \) is below, using Gaussian Elimination with Back Solving. Use pivoting if appropriate.\[A = \begin{bmatrix} 1 & 1 \\ 3 & 1 \end{bmatrix}\](b) Use your work in (a), to give the LU decomposition of \( A \).

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Answered: . (a) Solve Ax = b where b = [3, 5]'…

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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. (a) Solve Ax = b where b = [3, 5]' and A is below, using Gaussian Elimination with Back Solving. Use pivoting if appropriate. (b) Use your work in (a), to give the LU decomposition of A.