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Unformatted text preview: A , and consider the map L A : B [ A,B ] Show that L A is a linear map. Describe the kernel of L A . (3) Let V be the space of innitely dierentaible functions on the interval [0 , 1]. Show that the map T : V V dened by ( Tf )( x ) = Z x f ( t ) dt is a linear map. Prove that T is injective. Is T surjective? (Why or whiy not?) 1...
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This note was uploaded on 10/12/2009 for the course MATH 136 taught by Professor Staff during the Spring '08 term at University of Washington.
- Spring '08