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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 textmessage alerts and phones in vibrate mode. 1. Indicate whether each of the following statements is true or false. (2 points each). (a) A onetoone 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 welldefined 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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 Fall '08
 Feinberg,E
 Linear Algebra, Applied Mathematics, Vector Space, r3 r3, Extra work page

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