MATH 308 Midterm: Math308-Spring2014

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31 Jan 2019
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80: the exam is 110 minutes long. Read all of the problems carefully before starting to work on them: you are allowed to use an 8. 5 11 sheet of handwritten notes (you may use both sides). You may use a calculator that does not handle matrices and systems of linear equations. No electronic devices (cell-phones, tablets etc) or graphing calculators are allowed: show all of your work! You will receive no credit for a problem where you just provide an answer and do not show your work. If you need more room, use the backs of pages. If you do so, please make a note for the grader (for example an arrow and a comment along the lines of continued on back ): write legibly and in an organized manner. Page 2 of 10: let a = (cid:18) 0. 6 0. 4. The matrix a has two eigenvalues 1 and 2. The eigenspace, e 1, is spanned by ~u1 = (cid:18) 2.