1-4, apply the Jacobi method to the given system of In linear equations, using the initial approximation (x, X ..X) (0, 0,.. .0). Continue performing iterations until two successive approximations are identical when rounded to three significant digits. 1. 3x, - x = 2 *+4x, = 5 2. -4x, + 2r, = -6 3x, - 5x, = 1

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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In
linear equations, using the initial approximation (x,, X )
(0, 0,.. .0). Continue performing iterations until two successive
approximations are identical when rounded to three significant digits.
1-4. apply the Jacobi method to the given system of
1. 3x, - x, = 2
* + 4x, - 5
3. 2x,
2. -4x, + 2r, = -6
3e, - 5x, = 1
4. 4x, + x+ x = 7
- 7x, + 2r, =-2
3x
- 3x + :
-X, + X - 3x = -6
-2
+ 4x, 11
Transcribed Image Text:In linear equations, using the initial approximation (x,, X ) (0, 0,.. .0). Continue performing iterations until two successive approximations are identical when rounded to three significant digits. 1-4. apply the Jacobi method to the given system of 1. 3x, - x, = 2 * + 4x, - 5 3. 2x, 2. -4x, + 2r, = -6 3e, - 5x, = 1 4. 4x, + x+ x = 7 - 7x, + 2r, =-2 3x - 3x + : -X, + X - 3x = -6 -2 + 4x, 11
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