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# hw12 - 2(5 points Consider the vector space P 2 of all...

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MATH 262 Homework 12 March 12, Spring 2010 Name: Section: NO CREDIT WILL BE GIVEN IF YOU EITHER SHOW YOUR ANSWERS TO OTHERS OR YOU COPY FROM OTHERS. THIS QUIZ SHOULD BE DONE BY YOURSELF. 1. (5 points) Let T : R 3 R 3 be defined by T ( x ) = A x where A = 1 - 2 1 2 - 3 - 1 5 - 8 - 1 . Find bases for Ker ( T ) , Rang
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Unformatted text preview: 2. (5 points) Consider the vector space P 2 of all polynomials p ( t ) with the degree ≤ 2 . Let L : P 2 → P 2 be a linear transformation satisfying L ( 1 + t-t 2 ) = t-3t 2 ,L ( 1-t + t 2 ) = -3t + t 2 . What is L ( 2 + t-t 2 ) ?...
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