035.png 5x+16y+10z = 45 3х+2у+7z 317 5х + у+3239 Find the third iteration value of z using the Gauss-Seidel method with an initial guess of (1, 0, 2). Round off your final answer to nine decimal places. Do not round off in preliminary calculations.

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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Given the system of equations
035.png
5х +16у+10z %3D 45
Зх +2у+7: 3D17
5x+ y+3z = 9
Find the third iteration value of z using the Gauss-Seidel method with an initial guess of (1, 0, 2).
Round off your final answer to nine decimal places. Do not round off in preliminary calculations.
Transcribed Image Text:Given the system of equations 035.png 5х +16у+10z %3D 45 Зх +2у+7: 3D17 5x+ y+3z = 9 Find the third iteration value of z using the Gauss-Seidel method with an initial guess of (1, 0, 2). Round off your final answer to nine decimal places. Do not round off in preliminary calculations.
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