**Exercise 5: LU Factorization**Find the LU Factorization of matrix \( A \) given by:\[A = \begin{bmatrix} 5 & 2 & 1 \\ 1 & 3 & 2 \\ 7 & 1 & 2 \\ 3 & 2 & 1 \end{bmatrix}\]**Instructions:** Show the steps and calculations used to obtain the LU factorization.

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Answered: 5. Find LU Factorizatioon of A = [5 2 1…

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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5. Find LU Factorizatioon of A = [5 2 1 1 3 2 7 1 2 3 2 1- Show the work!