ME218_HW3_2010 - dc . Are they equal? (b) Given I = 1 1 , b...

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ME 218: ENGINEERING COMPUTATIONAL METHODS Home Work #3 Assigned: September 17, 2010 Due: September 23, 2010 Name: _________________ UT EID: __________ Unique No: _________ Lab Time: (Mon/Tue) ___PM Problem 1: Secant Method Given ݂ሺݔሻ ൌ ଵ.ହ௫ ሺଵା௫ െ0 .65arctanቀ ቁ൅ ଴.଺ହ௫ ሺଵା௫ ൌ0 , solve for a root of the equation using the Secant method starting with [0, 0.5] as the initial pair of points. Perform 3 iterations and solve the problem by hand. Report the last iteration step made (i.e. 1 N N x x ) and the value of the function at N x . Problem 2: Matrix Operations (a) Given c = [] 8 6 4 2 , and d = [ ] T 7 5 3 1 , compute cd
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Unformatted text preview: dc . Are they equal? (b) Given I = 1 1 , b = 7 2 , and x = 2 1 x x , compute Ib . Is Ib equal to b ? Again, compute Ix. Is Ix equal to x ? (c) Given E 1 = 1 2 1 , E 2 = 1 3 1 , E 3 = 4 1 1 , E 4 = 1 2 1 and A = 2 3 4 2 , compute E 1 A , E 2 (E 1 A) , E 3 (E 2 E 1 A) , and E 4 (E 3 E 2 E 1 A) . Describe what is happening with rows as you multiply your matrices by E 1 , E 2 , E 3 , and E 4 , respectively....
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