Linear Algebra October 2017 practice var2.pdf

Linear Algebra October 2017 practice var2.pdf - Linear...

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PRACTICE EXAM Linear Algebra, Final Exam NAME: Q.# 1 2 3 4 5 6 7 8 9 10 ANSWER S E C T I O N I: M U L T I P L E C H O I C E Directions: Each of the following problems is followed by five choices. Select the best choice and put the corresponding mark into the answer sheet above. Don’t forget to put in your name. Incorrect answers are penalized by - 0 . 25 points, while correct answers are rewarded with +1 . 00 points. There is no penalty for answers left blank. You may write in any part of this booklet. There are additional pages you may use as a scrap paper. If you wish, you may detach them gently, without unstapling the booklet. This booklet is to be turned in at the end of the exam. Calculators may NOT be used at any part of the exam. Time reserved for this section is: 45 min. 1. Which of the following numbers is NOT an eigenvalue of the matrix A = - 6 - 4 6 - 2 8 - 4 - 8 5 1 - 4 - 1 - 2 8 0 - 8 1 ? (A) -7 (B) -4 (C) 0 (D) 1 (E) 2 2. Let e 1 = (2 , 1), e 2 = ( - 1 , 2), e 3 = ( - 2 , 1), and let A be the linear operator such that A ( e 1 ) = e 2 and A ( e 2 ) = e 1 . What is A ( e 3 )?

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• Summer '15
• Linear Algebra, 3 pts, 4 pts, 45 min, F R E E R E S P O N S E, P L E C H

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