Linear Algebra September 2015 var1.pdf - Linear Algebra...

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Linear Algebra, Midterm 2015 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. Remember that 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: 30 min. 1. Let A be the inverse matrix for 5 5 - 4 - 1 - 1 1 5 4 - 4 . Then a 23 = (A) -1 (B) 1 (C) -5 (D) 5 (E) None of the above 2. The determinant 2 - 4 6 5 - 4 - 4 7 8 - 2 is equal to 3. Let { a, b, c, d } be four linearly dependent vectors in R 3 . Which of the following MUST be true?
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