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exam1sol - Question Marks Score 1 5 2 5 3 4 4 3 5 6 6 3 7...

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Question: 1 2 3 4 5 6 7 8 9 10 Total Marks: 5 5 4 3 6 3 10 5 3 6 50 Score: Name (print): Signature: UWO ID number: Circle the numbers of your section and lab section in the tables below: 001 MWF 12:30 Arash Pourkia 002 MWF 11:30 Graham Denham 003 Thu 1:30 C. Portwood 006 Thu 10:30 S. Acar 004 Thu 12:30 W. Grey 007 Wed 10:30 A. Moatadelro 005 Thu 2:30 C. Portwood 008 Wed 9:30 A. Moatadelro 009 Thu 10:30 R. Gonzales THE UNIVERSITY OF WESTERN ONTARIO DEPARTMENT OF MATHEMATICS MATHEMATICS 1600b MIDTERM EXAMINATION 1 March 2011 7:00–9:00 PM INSTRUCTIONS: 1. This exam is 6 pages long. It is printed single-sided. There are 10 questions. 2. All questions must be answered in the space provided. Indicate your answer clearly. Should you need extra space, a blank page is provided at the end of the booklet. 3. Show all your of your work and explain your answers fully. Unjustified, irrelevant or illegible answers will receive little or no credit. 4. Do not unstaple the exam booklet. 5. No aids are permitted. In particular, calculators, cell phones, ipods etc. are not allowed and may be confiscated. 1. (5 marks) For each of the following statements, circle T if the statement is always true and F if it can be false. No justification required. (a) If u · v = 0, then either u = 0 or v = 0.
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Mathematics 1600b Midterm exam 1 March 2011 Solution: False; e.g., u = (1 , 0), v = (0 , 1). (b) If S is a linearly dependent set, then each vector in S is a linear combination of the other vectors in S . Solution: False; consider { (0 , 0) , (1 , 0) } .
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