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(A) la,12Σ}-1. 2.." (B)la,l2Σai-1.2." and la,l>Σ에} for any i-1,2,.." J-1

(A) la,12Σ}-1. 2.." (B)la,l2Σai-1.2." and la,l>Σ에} for any i-1,2,.." J-1

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 66CR
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A square matrix [A]wn is diagonally dominant if (A) |a,|>E,\i=1, 2, .n J-1 (B)la,|2 Ea,i = 1, 2. .n and la,|>Ela,, for any i = 1, 2. . J-1 (C) a,2a,i= 1, 2, ... n and a,>E,, for any i= 1, 2, .n J-1 J-1 D) .l2Σa -1.2,"
Transcribed Image Text:A square matrix [A]wn is diagonally dominant if (A) |a,|>E,\i=1, 2, .n J-1 (B)la,|2 Ea,i = 1, 2. .n and la,|>Ela,, for any i = 1, 2. . J-1 (C) a,2a,i= 1, 2, ... n and a,>E,, for any i= 1, 2, .n J-1 J-1 D) .l2Σa -1.2,"
Using initial estimates for the solution to be {0.0,0}. what is the solution to the system 5x, – 2.x, +3x, = -1 -3x, +9x, +x, = 2 after two iterations of Jacobi Method? 2x, – x, - 7x, = 3 a. {-0.200,0.222,-0.429} b. {0.146,0.203, –-0.517} c. {0.192,0.328,-0.416} d. {0.181,0.332,-0.421}
Transcribed Image Text:Using initial estimates for the solution to be {0.0,0}. what is the solution to the system 5x, – 2.x, +3x, = -1 -3x, +9x, +x, = 2 after two iterations of Jacobi Method? 2x, – x, - 7x, = 3 a. {-0.200,0.222,-0.429} b. {0.146,0.203, –-0.517} c. {0.192,0.328,-0.416} d. {0.181,0.332,-0.421}
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