Exam2A200 - M340L EXAM 2A 2:00 FALL, 2009 Dr. Schurle Your...

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M340L EXAM 2A 2:00 FALL, 2009 Dr. Schurle Your name: Your UTEID: Show all your work on these pages. Be organized and neat. Your work should be your own; there should be no talking, reading notes, checking laptops, using cellphones, . . . . 1. (10 points) Suppose V is a vector space with a basis consisting of exactly n vectors. Explain in detail why any set of more than n vectors in V must be linearly dependent. The vector space V need not be any R q .
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YOUR SCORE: /100 2. (10 points) Let H be the set of all x y z such that y = x + 1. Is H a subspace of R 3 ? Justify your answer. 3. (12 points) Suppose the rank of a 17 × 23 matrix A is 15. The largest number of linearly independent vectors in Row A is . The smallest number of vectors needed to span Col A is . The null space of A is a subspace of R q when q = . How many vectors are in a basis for Nul A ?
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4. (12 points) The matrix A = 2 4 1 0 10 3 1 2 1 4 27 - 2 0 0 - 2 4 12 - 4 - 2 - 4 1 0 - 2 4
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This note was uploaded on 03/06/2010 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas at Austin.

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Exam2A200 - M340L EXAM 2A 2:00 FALL, 2009 Dr. Schurle Your...

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