Final1000 - M340L FINAL EXAM SPRING, 2009 Dr. Schurle 10:00...

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Unformatted text preview: M340L FINAL EXAM SPRING, 2009 Dr. Schurle 10:00 SECTION, THURSDAY, MAY 14 Your name: Your UTEID: Show all your work on these pages. If you use your calculator, say so. Be organized and neat. Your work should be your own; there should be no talking, reading notes, checking laptops, using cellphones, . ... THE EXAM HAS 15 PROBLEMS. 1. (6 points) In the process of solving the system of linear equations A x = b , you have done row operations to the augmented matrix [ A | b ] to obtain the following. It is not yet in reduced echelon form. Using parametric vector form as appropriate, describe all solutions of the system. 1 2 0 1 0 2 1 2 0 1 1 4- 2- 4 1 1 0- 3- 1- 2 3 8 0 1 YOUR SCORE: /100 2. (7 points) Is the column space of A equal to R 4 when A is the following matrix? Show all your work and justify your answer. 1 1 2 1 1 1 2 3- 2- 2- 3 1- 1- 1 1 8 3. (7 points) For which value(s) of h do the columns of the following matrix form a basis...
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This note was uploaded on 12/14/2009 for the course M 91795 taught by Professor Koch during the Spring '09 term at University of Texas at Austin.

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Final1000 - M340L FINAL EXAM SPRING, 2009 Dr. Schurle 10:00...

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