Apply The Gauss-seidel method This simple computing exercise will take you into the fascinating world of scientificcomputing and machine learning. I assure you that you will be surprised and puzzledby what your numerical results. IApply the Gauss-Seidel method (xm-1 → xm)a11x" + a12X"- + a13X"m-1+ a23X3+ a33X".m-1.m-1a21 X" + a22X"a31 X" + a32X"= b1= b2m= b3ymto the solution of the nearly singular linear system of equation (Ao + el)x = b (for small e > 0)1-1)Ao-12-1E R(A),bE ker(Ao).e =-11(Note that A, is singular and Age = 0.)Given x°b, please fill in the following table for the smallest m satisfying || Axm – b|| < 10-810-110-210-310-410-510-610-710-80 [singular case]I| || ||

Answered: Image /qna-images/answer/0fc48e26-5820-46b6-80e9-a9002457b140.jpg

This simple computing exercise will take you into the fascinating world of scientific computing and machine learning. I assure you that you will be surprised and puzzled by what your numerical results. I Apply the Gauss-Seidel method (xm-1 → xm) a11xf" + a12X" a21 xf" + a22 X" a31 X" + a32 X" „m-1 + a13X3 ,m-1 = bi m-13b2 + a23X3 %3D vm %3D m + a33 X" = b3 to the solution of the nearly singular linear system of equation (A, + €l)x = b (for small e > 0) 1 -1 () Ao = -1 2 b = E R(Ao), -1 -1 E ker(Ao). -1 1 (Note that A, is singular and A, e = 0.) Given x° = b, please fill in the following table for the smallest m satisfying || Axm - b|| < 10-8 1 10-1 10-2 10-3 10-4 10-5 10-6 10-7 0 [singular case] 10-8

This simple computing exercise will take you into the fascinating world of scientific computing and machine learning. I assure you that you will be surprised and puzzled by what your numerical results. I Apply the Gauss-Seidel method (xm-1 → xm) a11xf" + a12X" a21 xf" + a22 X" a31 X" + a32 X" „m-1 + a13X3 ,m-1 = bi m-13b2 + a23X3 %3D vm %3D m + a33 X" = b3 to the solution of the nearly singular linear system of equation (A, + €l)x = b (for small e > 0) 1 -1 () Ao = -1 2 b = E R(Ao), -1 -1 E ker(Ao). -1 1 (Note that A, is singular and A, e = 0.) Given x° = b, please fill in the following table for the smallest m satisfying || Axm - b|| < 10-8 1 10-1 10-2 10-3 10-4 10-5 10-6 10-7 0 [singular case] 10-8

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 2CEXP

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