Test 2_Sem I_0809 - UNIVERSITI TUN HUSSEIN ONN MALAYSIA...

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UNIVERSITI TUN HUSSEIN ONN MALAYSIA CENTRE FOR SCIENCE STUDIES SEMESTER I 2008/2009 BSM 3913 TEST 2 (20%) DURATION : 1¼ HOUR ANSWER ALL THE QUESTIONS AND CALCULATION IN 3 DECIMAL PLACES. Q1 (a) Evaluate (b) Find the absolute error for (a) if the exact solution is 3.104. Q2 Given a matrix = 416 . 1 1 0 1 416 . 1 1 0 1 416 . 1 A . (a) Find the dominant eigenvalue (in absolute value) and its corresponding eigenvector for the matrix A by using Power Method. (b) Find the smallest eigenvalue (in absolute value) and its corresponding eigenvector for the matrix A by using shifted power method. 2 0 sin π dx e x with 6 = n subintervals by using Simpson’s 8 3 rule. . = .
(a) Second-order Taylor series method, (b) Classical fourth-order Runge-Kutta method. In each method, compare the results to the actual values by finding an absolute

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