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# exam1 - Name(print EID The UNIVERSITY of TEXAS at AUSTIN...

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Name (print): EID: The UNIVERSITY of TEXAS at AUSTIN DEPARTMENT of MATHEMATICS MATH 340L MIDTERM EXAMINATION 1 October 6, 2011 INSTRUCTIONS: 1. This exam is 7 pages long. There are 8 questions. 2. All questions must be answered in the space provided. Indicate your answer clearly. Should you need extra space, ask for paper from the proctor. 3. Show all of your work and explain your answers fully unless directed otherwise. Un- justified, irrelevant, and illegible answers will receive little or no credit. 4. Do not unstaple the exam booklet. 5. One double-sided page of notes is permitted. However, calculators, phones, and other aids are forbidden.

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Math 340L Midterm exam 1 October 6, 2011 1. Determine whether each of the following statements is true or false. You do not need to justify your answers. (a) (2 points) If u and v are non-collinear vectors in R 3 , then span { u , v } is a plane through the origin. True False (b) (2 points) Suppose A is an m × n matrix so that an echelon form of A has a pivot in each row. Then the columns of A span R m .
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exam1 - Name(print EID The UNIVERSITY of TEXAS at AUSTIN...

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