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Q1PracticeF2007

# Q1PracticeF2007 - Name MATHEMATICS 23a FALL 2007 Practice...

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Name: MATHEMATICS 23a, FALL 2007 Practice Quiz # 1 October 2007 (These were the instructions from last year, when this was the real quiz) This is designed as a 45-minute quiz, but you may work on it until 9 PM. You get two chances on multiple-choice items 1-3. Bring up your paper for grading as soon as you have answered them. A correct answer on the first try is worth 2 points. If your first answer is wrong, a correct answer on the second try is worth 1 point. Questions 4, 5, 6 and 7 are worth 3, 3, 4, and 4 points respectively. For purposes of this quiz, treat the following approximations as exact: cos 37 o = sin 53 o = 4 5 , cos 53 o = sin 37 o = 3 5 Problem 1st Try 2nd Try Points Score 1 2 2 2 3 2 4 xxx xxx 3 5 xxx xxx 3 6 xxx xxx 4 7 xxx xxx 4 Total 20 1. The angle between the vectors 4 2 and 2 - 1 is (a) 37 o (b) 45 o (c) 53 o (d) arccos( 1 5 ) (e) arccos( 1 3 ) 1

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2. T : Z 2 3 Z 2 3 is a linear transformation for which T [1] 3 0 = [2] 3 [1] 3 T 0 [1] 3 = [1] 3 [1] 3 .
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