MATH 21B Midterm: MATH 21B Harvard 21b Fall 07second Midterm Practice1
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Mwf11 anand patel: 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 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 x is the least squares solution of ax = b, then. If is an eigenvalue of a, then 3 is an eigenvalue of a3. A shear in the plane is not diagonalizable. If a is invertible, then a and a 1 have the same eigenvectors.
