Consider the system z-2y- 0.5z = -4,-2x + y – 0.5z = 4, y+ 2z = 0. Perform Gauss Seidel iteration method only one time starting with the initial guesses (a), y(0), z(0))=(0,0,0). What are the approximate values ((1), y(1), z(1)? %3D Select one: O a. (-1.625, 1.3125, -0.656) O b. (-2, 1, -0.5) c. None of them O d. (-2,2,0) O e. (-1.025, 1.8125,-0.334)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the system z-2y- 0.5z = -4,-2x + y – 0.5z = 4, y+ 2z = 0. Perform Gauss Seidel iteration method only
one time starting with the initial guesses (a), y(0), z(0))=(0,0,0). What are the approximate values ((1), y(1), z(1)?
%3D
Select one:
O a. (-1.625, 1.3125, -0.656)
O b. (-2, 1, -0.5)
c. None of them
O d. (-2,2,0)
O e. (-1.025, 1.8125,-0.334)
Transcribed Image Text:Consider the system z-2y- 0.5z = -4,-2x + y – 0.5z = 4, y+ 2z = 0. Perform Gauss Seidel iteration method only one time starting with the initial guesses (a), y(0), z(0))=(0,0,0). What are the approximate values ((1), y(1), z(1)? %3D Select one: O a. (-1.625, 1.3125, -0.656) O b. (-2, 1, -0.5) c. None of them O d. (-2,2,0) O e. (-1.025, 1.8125,-0.334)
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