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Unformatted text preview: EEL4834 Midterm 1 10/06/2009 Answer the questions in the space provided on the sheets. Show all work. If you run out of space, write on the back of the page. PLACE A BOX AROUND YOUR FINAL ANSWER . Answers not clearly marked may not be graded. Student name and UFID: Question: 1 2 3 4 5 Total Points: 30 10 15 25 10 90 Score: 1. Some soft-balls: (a) (5 points) The syntax for a vector in Matlab is [0 1 2], True or False? Solution: True (b) (5 points) Groups must have the distributive property, True or False? Solution: False. The distributive property involves multiplication and Groups only have one operation, typically called +. (c) (5 points) The real part of z is z z where z is complex conjugate, True or False? Solution: False, Re ( z ) = z + z 2 . Instead | z | 2 = z z . (d) (5 points) | ~a ~ b | 2 + | ~a ~ b | 2 = | ~a | 2 | ~ b | 2 , True or False? Solution: True. I proved this in class. Remember sin 2 + cos 2 = 1, or just check two random vectors. (e) (5 points) Gram-schmidt takes an orthonormal basis as input and produces a set of linearly independent vectors, True or False?of linearly independent vectors, True or False?...
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- Spring '10