quiz_04sle_gaussseidal

quiz_04sle_gaussseidal - Multiple-Choice Test Chapter 04.08...

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04.08.1 Multiple-Choice Test Chapter 04.08 Gauss-Seidel Method 1. A square matrix [ ] n n A × is diagonally dominant if (A) , 1 = n j i j ij ii a a n i ,..., 2 , 1 = (B) , 1 = n j i j ij ii a a n i ,..., 2 , 1 = and , 1 = > n j i j ij ii a a for any n i ,..., 2 , 1 = (C) , 1 = n j ij ii a a n i ,..., 2 , 1 = and , 1 = > n j ij ii a a for any n i ,..., 2 , 1 = (D) , 1 = n j ij ii a a n i ,..., 2 , 1 = 2. Using ] 5 , 3 , 1 [ ] , , [ 3 2 1 = x x x as the initial guess, the values of ] , , [ 3 2 1 x x x after three iterations in the Gauss-Seidel method for = 6 5 2 11 7 2 1 5 1 3 7 12 3 2 1 x x x are (A) [-2.8333 -1.4333 -1.9727] (B) [1.4959 -0.90464 -0.84914] (C) [0.90666 -1.0115 -1.0243] (D) [1.2148 -0.72060 -0.82451]
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