# Final1200 - M340L FINAL EXAM 12:00 SPRING 2010 Dr Schurle Your name Your UTEID Show all your work on these pages Be organized and neat Your work

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M340L FINAL EXAM 12:00 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 2 0 3 5 2 4 1 10 16 3 6 - 1 5 9 - 1 - 2 2 5 7 and b = 7 22 13 9

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YOUR SCORE: /100 2. (7 points) Are the columns of the following matrix linearly independent? Show all your work and justify your answers. 1 1 2 1 2 4 5 3 3 1 4 4 - 1 3 - 3 7 3. (7 points) Find the inverse of A = " 3 4 2 2 # and use it to solve 2 AX - 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 4 to R 2 for which T a

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## This note was uploaded on 06/15/2011 for the course M 340L taught by Professor Pavlovic during the Fall '08 term at University of Texas at Austin.

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Final1200 - M340L FINAL EXAM 12:00 SPRING 2010 Dr Schurle Your name Your UTEID Show all your work on these pages Be organized and neat Your work

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