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Unformatted text preview: Math 217 Final Problems This is an open book Final examination. After you start reading the problems you have 24 hours to work on them, but keep in mind that all solutions should be submitted by 9 am on May 18th. Attach this page to the solutions. Put your solutions into the box in front of my office (Fine 1009) or slip under the door. You can use the course textbook and your lecture notes but not any other sources. You can use computer to write down solutions but the use of mathematical programs (Mathematica, Mathcad, Mathlab etc.) is not permitted. Collaboration is not permitted. Do not forget to write and sign the Honor Pledge. Do not forget to print your name and the section number (time or instructor’s name). Problem Score 1 2 3 4 5 6 Total Name (please print) Section WRITE OUT AND SIGN PLEDGE: I pledge my honor that I have not violated the Honor Code during this examination 1. Let M = 2 1 0 0 2 0 0 0 1 (a) Decompose M into the D + N form (diagonal plus nilpotent) [Hint: easy].form (diagonal plus nilpotent) [Hint: easy]....
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