Time left 0:28:11The Gauss-Seidel iteration for the system3x1 – x2 = 7-21 + 4x2 = 8isO a.(k+1) – (7+ x)/3„lk+1))/4(8 + a(k+1)for all k = 0, 1, 2, . .O b.(7 + x+1))/3+ 2*+)/4„(k)(8+ 1for all k = 0, 1, 2, · ..Oc.(k+1)(7+ x= (8+ a)/4for all k = 0, 1, 2, · ..d.(k+1)(7+ 12(7 + 2+1)/3(k+1)= (8+ x*1)/4for all k = 0, 1, 2, ·..¤1 = (7+ x2)/3x2 = (8+ x1)/4O e.Of.14) = (7+ 1)/3„(k)(8 + 2*+1)/4for all k = 0, 1, 2,· ..%3D

Given system of equations is We have to give the Gauss- seidel iteration formula for the above…

The Gauss-Seidel iteration for the system 3x1 – x2 = 7 -21 + 4x2 = 8 is O a. „(k). r**) = *1) = (k+1) (7 + x)/3 „(k+1) (8+ x**)/4 (k+ for all k = 0, 1, 2, · … Ob. z" = (7+ 2*+1)/3 (8+ x*+))/4 „(k) (k) %3D (k+ for all k = 0, 1, 2, · . ... . z*1) = (7+ æ)/3 2*1) = (8 + æf*)/4 Oc. (k+1) %3D for all k = 0, 1, 2, -. %3D Od. (k+1) = (7+ a)/3 21) = (8+ 21)/4 „(k+1) (k+1 for all k = 0, 1, 2, . .. %3D O e. I1 x1 = (7+ x2)/3 (8 + ¤1)/4 Of. 2" = (7+ 2)/3 29 = (8 + 2*+)/4 for all k = 0, 1, 2,· …

The Gauss-Seidel iteration for the system 3x1 – x2 = 7 -21 + 4x2 = 8 is O a. „(k). r**) = *1) = (k+1) (7 + x)/3 „(k+1) (8+ x**)/4 (k+ for all k = 0, 1, 2, · … Ob. z" = (7+ 2+1)/3 (8+ x+))/4 „(k) (k) %3D (k+ for all k = 0, 1, 2, · . ... . z1) = (7+ æ)/3 21) = (8 + æf)/4 Oc. (k+1) %3D for all k = 0, 1, 2, -. %3D Od. (k+1) = (7+ a)/3 21) = (8+ 21)/4 „(k+1) (k+1 for all k = 0, 1, 2, . .. %3D O e. I1 x1 = (7+ x2)/3 (8 + ¤1)/4 Of. 2" = (7+ 2)/3 29 = (8 + 2+)/4 for all k = 0, 1, 2,· …

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 15RE

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Question

Time left 0:28:11
The Gauss-Seidel iteration for the system
3x1 – x2 = 7
-21 + 4x2 = 8
is
O a.
(k+1) – (7+ x)/3
„lk+1))/4
(8 + a
(k+1)
for all k = 0, 1, 2, . .
O b.
(7 + x+1))/3
+ 2*+)/4
„(k)
(8+ 1
for all k = 0, 1, 2, · ..
Oc.
(k+1)
(7+ x
= (8+ a)/4
for all k = 0, 1, 2, · ..
d.
(k+1)
(7+ 12
(7 + 2+1)/3
(k+1)
= (8+ x*1)/4
for all k = 0, 1, 2, ·..
¤1 = (7+ x2)/3
x2 = (8+ x1)/4
O e.
Of.
14) = (7+ 1)/3
„(k)
(8 + 2*+1)/4
for all k = 0, 1, 2,· ..
%3D

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