MATH 21B Midterm: MATH 21B Harvard 21b Spring 18Solution4

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15 Feb 2019
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Math 21b, fall 2007: start by writing your name in the above box and check your section in the box to the left, try to answer each question on the same page as the question is asked. If needed, use the back or the next empty page for work. If you need additional paper, write your name on it: do not detach pages from this exam packet or un-staple the packet, please write neatly. Answers which are illegible for the grader can not be given credit: no notes, books, calculators, computers, or other electronic aids can be allowed, you have 180 minutes time to complete your work. 3 (cid:21) is always invertible for c . The solutions of f + f + 17f = et form a linear subspace of c (r) It is not a linear subspace because for example, it does not contain f = 0. The vector 0 is not in the set.