To ensure that the following system of equations,2.x, + 7x, - 11x, = 6X + 2x, + x, = -5%3D7x, + 5x, + 2x, = 17converges using Gauss-Seidel Method, one can rewrite the above equations as follows:%3D2 7 -11 x16.(A)1 21X =-57 5X3177 5217(B)1 21r=-5x227-11|| x36.[7 5(C)1 21X2-527 -11 x,17(D) The equations cannot be rewritten in a form to ensure convergence2.2. What is the approximate value of x in thesystemx + 3y + 52z = 173.61x – 27y + 2z = 71.3141x – 2y +3z 65.46after three iterations of Gauss-SeidelMethod with initial estimates ofx = 1, y = -1, z = 3.1.229991.328291.228561.23000

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Answered: To ensure that the following system of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 1RQ

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To ensure that the following system of equations, 2x, + 7x, - 11x, = %3D X+ 2x, + x, = -5 7x, + 5x, + 2x, = 17 converges using Gauss-Seidel Method, one can rewrite the above equations as follows %3D 2 7 -11 x, 6. (A) 1 2 1 X =-5