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CEE 305 TEST#2

# CEE 305 TEST#2 - Page 1 of 4 CEE 305 Civil Environmental...

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Page 1 of 4 Professor Duc T. Nguyen; 135 Kaufman (Office #683-3761) Wed., October 12, 2011; 3:00pm – 4:15pm; 1012 BAL Closed Books/Notes; calculator is allowed 1-page (both sides 8.5” x 11”) formulas/examples etc…is allowed Matrix Operations, Simultaneous Linear Equations (SLE),Cholesky Method, Fill-in-Terms Problem 01 Given the following 3 x 3 SLE [A] * {x} = {b}, where: [ ] [ ] - = - - - = 11 9 3 b 8 1 . 2 2 4 1 1 1 2 A Using Naïve Gauss Elimination method, a) Find the upper triangular matrix [U]?? b) Find the backward solution vector {x}?? Problem 02 Given the following 3 x 3 SLE [A] * {x} = {b}, where: [ ] [ ] - = - - - = 11 9 3 b 8 1 . 2 2 4 1 1 1 2 A Using L U Decomposition method, a) Find the upper triangular matrix [U]?? b)

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CEE 305 TEST#2 - Page 1 of 4 CEE 305 Civil Environmental...

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