Exam3B1100 - M340L EXAM 3B 11:00 FALL, 2010 Dr. Schurle...

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M340L EXAM 3B 11:00 Your name: FALL, 2010 Dr. Schurle Your UTEID: Show all your work on these pages. THIS SHOULD ALWAYS INCLUDE AN INDI- CATION OF HOW YOU OBTAINED YOUR RESULTS! 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 the solutions of a homogeneous system of seven equations in seven unknowns are all multiples of one nonzero solution. Will the system necessarily have a solution for every possible choice of constants on the right sides of the equations? Justify your answer. 2. (10 points) Is 4 an eigenvalue of the matrix 5 2 1 1 2 8 2 4 1 4 5 10 1 4 0 22 ? If so, find a basis for its eigenspace. If not, justify your answer.
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YOUR SCORE: /100 3. (20 points) State whether each of the following statements is true (T) or false (F). If the given statement is false, then give a true statement as similar as possible to the given one. (a) If
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Exam3B1100 - M340L EXAM 3B 11:00 FALL, 2010 Dr. Schurle...

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