onsider the following linear system of the equations AX b where 4 8-1 -2 = -20 1 X= y l, and b = -1 1 26 Which of the following(s) is/are ture: ) The coefficient matrix A of the corresponding matrix equaiton AX=b is not strictly diagonally dominant. (11) Consider the Jacobi iteration that converges to the solution of the given system. If (Xo,Y0,Zo) = (0,0,0) then .(x,.y,Z,) = (-0.5,-1, 1/6). (I) Consider the Gauss-Seidel iteration that converges to the solution of the given system. If (Xg.Yo,Zo)= (1, 1, 1) then .(x,,y1,z,)3(1,-5/8, 5/24) Select one: O a. Only (1) O b. Only (III) O C (1) and (II) O d. (1) and (II) O e. None of these

onsider the following linear system of the equations AX b where 4 8-1 -2 = -20 1 X= y l, and b = -1 1 26 Which of the following(s) is/are ture: ) The coefficient matrix A of the corresponding matrix equaiton AX=b is not strictly diagonally dominant. (11) Consider the Jacobi iteration that converges to the solution of the given system. If (Xo,Y0,Zo) = (0,0,0) then .(x,.y,Z,) = (-0.5,-1, 1/6). (I) Consider the Gauss-Seidel iteration that converges to the solution of the given system. If (Xg.Yo,Zo)= (1, 1, 1) then .(x,,y1,z,)3(1,-5/8, 5/24) Select one: O a. Only (1) O b. Only (III) O C (1) and (II) O d. (1) and (II) O e. None of these

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the following linear system of the equations AX = b where
4 8-1
-2
A=-20 1
X=y l, and b =
-1
1 2 6
Which of the following(s) is/are ture:
(1) The coefficient matrix A of the corresponding matrix equaiton AX = b is not strictly diagonally dominant.
(1I) Consider the Jacobi iteration that converges to the solution of the given system. If (x,Y0,Zn) = (0,0,0) then .(x4,y1,Z,)-0.5,-1, 1/6).
(III) Consider the Gauss-Seidel iteration that converges to the solution of the given system. If (Xg,Yo:Zo) = (1, 1, 1) then .(x, Y1,Z,)= (1, -5/8, 5/24).
Select one:
O a. Only (1)
O b. Only (III)
Oc. () and (II)
O d. (1) and (III)
O e. None of these

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