midterm F04

midterm F04 - MATH 202, MIDTERM Wednesday, October 20,...

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Unformatted text preview: MATH 202, MIDTERM Wednesday, October 20, 7.30-9.00 PM Covers Chapters 15.1 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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midterm F04 - MATH 202, MIDTERM Wednesday, October 20,...

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