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categoryرياضيات schoolبكالوريوس event_available2026-07-13

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QUESTION 1 Solve for X1 and X2 in the system of equations given by: x2 3x1+1.9=0 x2+x12-3.0 = 0 Use pure Gauss iteration. What is the value of X1 after 50 iterations starting with X1(0) = 1 and X2(0) = 1? The accuracy should be +0.0001. (The use of Matlab is strongly recommended). QUESTION 2 Redo Question 1 using Gauss-Seidel procedure (use the updated variables as soon as they become available). What is the value of X 1 after 25 iterations starting with X1(0) = 1 and X2(0) = 1? The accuracy should be +0.0001. QUESTION 3 Redo Question 1 using honest Newton-Raphson procedure (recalculate the Jacobian matrix after each iteration). What is the value of X1 after 3 iterations starting with X1(0) = 1 and X2(0) = 1? The accuracy should be ± 0.0001. QUESTION 4 Redo Question 1 using dishonest Newton-Raphson procedure (calculate the Jacobian matrix only once). What is the value of X1 after 3 iterations starting with X1(0) = 1 and X2(0) = 1? The accuracy should be ± 0.0001.

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