Answered: So i calculated the LU decomposition of…

So i calculated the LU decomposition of a matrice. (as seen in picture) How do I use the LU decomposition to solve : 2x+2y+z = 1 6x+5y+5z=3 -4x-5y+5z=-7 Thanbk you in advance

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

Problem 25EQ

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Question

So i calculated the LU decomposition of a matrice. (as seen in picture)

How do I use the LU decomposition to solve :

2x+2y+z = 1

6x+5y+5z=3

-4x-5y+5z=-7

Thanbk you in advance

J
A=
Ax-b>L Rx = b
2 2 И
655
-4 -5 5
=
10
И
О
3 4
346
-24 1
2x+2y+2=4
6 X +54 + 57=3
2 2 1
0-12
О 05

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