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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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11.15 Of the following three sets of linear equations, identify the set(s) that you could not solve using an iterative method such as Gauss-Seidel. Show using any number of iterations that is neces- sary that your solution does not converge. Clearly state your con- vergence criteria (how you know it is not converging). x + y + 5z = 7 Set One Set Two 8x+3y+z = -6x + 7z = 1 12 x + 4y z = 4 2x+4y-z 5 3x + y - z = 4 - Set Three -x+3y+5z = 7 -2x+4y-5z = -3 2y- z = 1

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