MATH 21B Midterm: MATH 21B Harvard 21b Spring 15Practice6
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Tth 11:30 krishanu sankar: please ll in your name and mark your section, 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 and except for problems 1-3, give details. 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 90 minutes time to complete your work. If a is the matrix representing a shear in the plane then det(a i2) = 0. Two matrices are similar if and only if they have the same eigenvalues. Every orthogonal n n matrix satis es a2 = in. The eigenvalues of a n n matrix a do not change under row reduction.
