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quiz1_S07 - Princeton University Department of Mathematics...

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Princeton University Department of Mathematics Name: Instructor: A. Cannas J. Holland N. Pavlovic P. Raphael A. Salehi Golsefidy J. Szeftel A. Yang Class time: MAT 202 – Linear Algebra with Applications QUIZ 1 – Spring 2007 This quiz is due Friday, March 2, at 2 pm at your instructor’s office. You have 60 minutes to complete your work. Please show all work , explain your answers and write neatly. Each of the five problems corresponds to 20 points. Books, notes, calculators, computers are not permitted on the quiz. As part of your obligations under the Honor Code, do not discuss this quiz with anyone until after the Friday 2 pm deadline. PLEASE WRITE OUT AND SIGN THE PLEDGE: I pledge my honor that I have not violated the Honor Code during this examination. for the grading problem score 1 2 3 4 5 total
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2 (1) Consider the system x 1 + x 2 - x 3 = 1 2 x 1 + kx 2 + x 3 = 5 x 1 + x 2 + kx 3 = k + 2 (a) (10 points) For what values of k does this system have exactly one solution?
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3 (b) (10 points) Solve this system with k = - 1 .
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