201-nyc-05-science-winter2008

201-nyc-05-science-winter2008 - DAWSON COLLEGE FINAL...

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DAWSON COLLEGE FINAL EXAMINATION Mathematics 201-NYC-05 Linear Algebra – Science May 16, 2008 9:30 am to 12:30 pm STUDENT NAME : _____________________________________________ STUDENT NUMBER : __________________________________________ TEACHER: ___________________________________________________ INSTRUCTORS : G. Chu, L. Frajberg, I. Gombos, B. Szczepara TIME : 3 hours INSTRUCTIONS : - Print your name and student number in the spaces provided above - All questions are to be answered directly on the exam paper. - Small, noiseless, non-programmable calculators without text storage or graphing capabilities are permitted. - Translation and regular dictionaries are permitted. This examination consists of ____ questions contained in ____ pages. Please ensure that you have a completed examination before starting. THIS EXAM MUST BE RETURNED INTACT.
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MARKS 8 1. (a) Use the Gauss-Jordan Method to solve 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 2 5 3 2 5 9 3 2 3 11 3 2 7 5 x x x x x x x x x x x x x x x x + - = + - - = - + - + = - - + + = - (b) Give the particular solution in which 4 0. x = 6 2. For what value(s) of k ” will the homogeneous system ( ( 29 5 0 2 4 0 k x y x k y - + = - = have infinitely many non-trivial solutions?
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