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2107test1_09 - MATH 2107A TEST 1 OCTOBER 2 2009 This test...

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MATH 2107A TEST 1 OCTOBER 2, 2009 1 of 4 This test has three parts with a total of 30 marks. Part I has True/False questions. Part II has multiple choice questions, and Part III 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: [4] True/False questions. Circle the correct answer in ink. 1. If { } 3 2 1 , , v v v is independent, so is { } 3 2 1 v v v + + . [True | False] 2. A single vector by itself is linearly independent. [True | False] 3. Four vectors can span 3 . [True | False] 4. If { } 3 2 1 , , v v v is independent, then 0 3 2 1 = + + cv bv av for some c b a , , . [True | False] PART II: [6] Multiple choice questions. Circle the correct answer in ink. 1. Let ⎡− = 0 0 0 0 , 0 1 1 0 , 0 0 1 2 , 0 0 0 1 span Η . The dimension of
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