Exam1-1998 - CHEE 3334 Fall '98 EXAM 1 Michael Nikolaou...

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CHEE 3334 Fall ’98 Michael Nikolaou EXAM 1 Open-book, open-notes. Total points 100. Please, budget your time ! Do NOT try to read the book during the exam! Write neatly! Do NOT use your programmable calculator to find results you are asked to compute in a certain way--after all, the calculator may find the wrong answer or not all answers! Show all work. Return this sheet with your exam . GOOD LUCK! (10 pts.) 1. Find all solutions of the following system of equations: 10 4 3 2 6 3 2 6 2 3 = + + + = + + = + + z y x w z y x z x w (20 pts.) 2. For the matrix - - = 0 1 4 2 5 0 2 1 2 A find matrices = 33 32 31 22 21 11 0 0 0 f f f f f f F , = 1 0 0 1 0 1 23 13 12 g g g G such that FG A = . (Hint : Recall that = 1 0 0 0 1 0 0 0 1 / 1 0 0 0 / 1 0 0 0 / 1 0 0 0 0 0 0 c b a c b a .) (20 pts.) 3. The following iterative formula is given:
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