2107test3sol_09

2107test3sol_09 - MATH 2107A TEST 3 NOVEMBER 6, 2009 1 of 4...

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Unformatted text preview: MATH 2107A TEST 3 NOVEMBER 6, 2009 1 of 4 This test has two parts with a total of 30 marks. Part I has multiple choice questions, and Part II has long answer questions. The test cannot be taken out from the examination room. Only nonprogrammable calculators are allowed. Duration: 50 minutes. NAME (in ink): STUDENT NO (in ink): PART I: [6] Multiple choice questions. Circle the correct answer in ink. [2] 1. Let = = = 1 1 , 1 1 , 4 2 3 1 2 1 u u and let } , { 2 1 u u span W = . If = d c b a proj W , What is the value of d ? a) 1 b) 2 c) 3 d) 4 e) 5 [2] 2. Let A be a 3 3 matrix such that . 3 1 , 1 1 1 ) ( = span A col If = 1 b a is in )) ( ( A col , What is the value of b a + ? a) -1 b) -3 c) 0 d) 1 e) 3 3. Let = 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 A . You are given that = is an eigenvalue of A . What is the dimension of the corresponding eigenspace E ? a) 1 b) 2 c) 3 d) 4 e) 5 PART II: [24] Long answer questions. Show all your work. [8] 1. Let = 2 2 3 1 1 1 3 1 3 A . You are given that the eigenvalues of A are 3 , 1 = and 4....
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2107test3sol_09 - MATH 2107A TEST 3 NOVEMBER 6, 2009 1 of 4...

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