Final1100 - M340L FINAL EXAM 11:00B Your name: SPRING, 2010...

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Unformatted text preview: M340L FINAL EXAM 11:00B Your name: SPRING, 2010 Dr. Schurle 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, .... THE EXAM HAS 14 PROBLEMS. 1. (6 points) Use parametric vector form to describe all solutions of the system A x = b , where A and b are given below. DO NOT USE A CALCULATOR!! SHOW ALL YOUR WORK STEP BY STEP!! A = 1 0 2 4 0 2 1 7 13 0 3- 1 3 7 1- 1 2 4 6 3 and b = 6 19 19 32 YOUR SCORE: /100 2. (7 points) Do the columns of the following matrix span R 4 ? Show all your work and justify your answers. 1 1 2 1 2 4 5 3 3 1 4 4- 1 3- 3 10 3. (7 points) Find the inverse of A = " 1 2 2 2 # and use it to solve 2 A ( X- B ) = C for X , where B = " 2 1 3 1 1 0 # and C = " 6 4 2 0 2 2 # . 4. (9 points) Suppose T is a linear transformation from R 2 to R 4 for which T "...
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Final1100 - M340L FINAL EXAM 11:00B Your name: SPRING, 2010...

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