08win-m2 - Math 51- Winter 2008 - Midterm Exam II Please...

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Math 51- Winter 2008 - Midterm Exam II Please circle the name of your TA: Zachary Cohn Jos´ e Perea Nikola Penev Man Chun Li Daniel Mathews Theodora Bourni Anssi Lahtinen Isidora Milin Circle the time your TTh section meets: 10:00 11:00 1:15 2:15 Your name (print): Student ID: Sign to indicate that you accept the honor code: Instructions: Circle your TA’s name and the time that you attend the TTh section. Read each question carefully, and show all your work . You have 90 minutes to do all the problems. During the test, you may NOT use any notes, books, or calculators . Question 1 2 3 4 5 6 Total Maximum 20 16 12 22 16 14 100 Score
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Problem 1. (20 points total) Consider the matrix A = ± 3 2 - 2 - 2 ² (a)(10 points) find the eigenvalues and the corresponding eigenvectors of A . 2
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(b) (3pts) what are the eigenvalues of A 99 ? ( A is the matrix given above) (c) (3pts) is A 99 diagonalizable?
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08win-m2 - Math 51- Winter 2008 - Midterm Exam II Please...

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