FinalSample - Prof Ming Gu 861 Evans tel 2-3145 Email...

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Prof. Ming Gu, 861 Evans, tel: 2-3145 Email: [email protected] http://www.math.berkeley.edu/ mgu/MA110F2011 Math110 Sample Final, Fall 2011 This is a closed book exam; but everyone is allowed a standard one-page cheat sheet (on one-side only). You need to justify every one of your answers unless you are asked not to do so. Completely correct answers given without justification will receive little credit. Problems are not necessarily ordered according to difficulties. You need not simplify your answers unless you are specifically asked to do so. Hand in this exam before you leave. Problem Maximum Score Your Score 1 20 2 20 3 15 4 15 5 15 6 15 Total 100 Write your personal information below and on top of every page in the test. Your Name: Your GSI: Your SID:
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2 1. Label each of the following statements as TRUE or FALSE . Along with your answer, provide a counterexample, an informal proof or an explanation. (a) Every normal operator is diagonalizable.
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FinalSample - Prof Ming Gu 861 Evans tel 2-3145 Email...

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