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Unformatted text preview: Math 4377, Linear Algebra, Mock Second Exam. Summer 2011, Dr. Min Ru, University of Houston This is a closed book and closed note test. You have two hours to do the test. It is a good idea to read the entire exam before answering any question, and to plan your time wisely. At the end of test, don’t forget to write your name on anything you submit. Good luck!!! Name (Printed): Student ID : Remark : Throughout the exam, P n ( R ) is the vector space of real poly nomials of degree ≤ n . 1 1. Answer each of the following as true or false (state a brief reason). (a) If T : P 2 ( R ) → P 1 ( R ) is the linear transformation defined by T ( ax 2 + bx + c ) = ( a c ) x + ( b + c ), then x 2 + 2 x + 1 is in N ( T ), the null space of T . (b) If T : R 2 → R 2 is the linear transformation defined by T ( x,y ) = ( x y,x + y ). Then (2 , 3) ∈ R ( T ), the range of T . (c) Let T : R 2 → R 2 be the transformation defined by T ( x,y ) = ( x 2 y 2 ,x 2 + y 2 ), then T is linear....
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This note was uploaded on 02/21/2012 for the course MATH 4377 taught by Professor Staff during the Summer '08 term at University of Houston.
 Summer '08
 Staff
 Linear Algebra, Algebra

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