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Midterm 2-Fall 2008

# Midterm 2-Fall 2008 - AMS 510.01 Fall 2008 Midterm#2 Name...

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Unformatted text preview: AMS 510.01 Fall 2008, Midterm #2 Name: Student ID: Score: /100 ( + /10 bonus) Attention: • Write all solutions on this paper; extra sheets are available if needed. • Explain your answers and show all work. For all problems except question 1 (true and false), correct answers with incomplete work will not be given full points. • Calculators may not be used. • All cellular phones must be turned off . Anyone with a phone that rings during the exam will be asked to turn in their exam and leave immediately. This includes text-message alerts and phones in vibrate mode. 1. Indicate whether each of the following statements is true or false. (2 points each). (a) A one-to-one mapping can be defined from the set of natural numbers to the set of real numbers. (b) 4 2 1 3 7 2 3 2 1 1 2 =- 4 (c) The expression A 1 /p , p ∈ R , p > 0, is well-defined for any matrix, A , that is diagonaliz- able. (d) An orthonormal basis can always be defined for any vector space with a defined inner product....
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Midterm 2-Fall 2008 - AMS 510.01 Fall 2008 Midterm#2 Name...

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