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Unformatted text preview: MATH 202, MIDTERM Wednesday, October 20, 7.309.00 PM Covers Chapters 1–5.1 of textbook Time: 1 hour 30 minutes Your name (print): . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Your instructor : . . . . . . . . . . . . . . . . . . . Time your class meets : . . . . . . Please show all work and explain your answers. Books, notes and calculators are not permitted on this exam. Write below and sign the Pledge: I pledge my honor that I have not violated the Honor Code during this examination. 1. (16 points) Let A = 1 1 1 1 1 1 2 1 1 3 1 1 1 . (a) (7 points) Find a basis and the dimension for Ker ( A ). (b) (7 points) Find a basis and the dimension for Im ( A ). (c) (2 points) What is the rank ( A )? 2. (20 points) Let T : R 2 → R 2 be a linear transformation such that T 1 1 = 1 2 and T 1 2 = 5 2 . (a) (6 points) Calculate T ( e 1 ) and T ( e 2 )....
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This note was uploaded on 04/28/2008 for the course MAT 202 taught by Professor Staff during the Spring '08 term at Princeton.
 Spring '08
 Staff
 Math, Linear Algebra, Algebra

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