hw3 - T (1 , 0) = (1 , 4) and T (1 , 1) = (2 , 5). What is...

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HW # 3 Due date: 2/22/2011 1. In this exercise T : R 2 R 2 is a function. For each of the following, state why T is not linear. (a) T ( x 1 ,x 2 ) = (1 ,x 2 ) (b) T ( x 1 ,x 2 ) = ( x 1 ,x 2 2 ) (c) T ( x 1 ,x 2 ) = (sin x 1 , 0) (d) T ( x 1 ,x 2 ) = ( | x 1 | ,x 2 ) (e) T ( x 1 ,x 2 ) = ( x 1 + 1 ,x 2 ) 2. Suppose that T : R 2 R 2 is a linear map such that
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Unformatted text preview: T (1 , 0) = (1 , 4) and T (1 , 1) = (2 , 5). What is T (2 , 3)? Is T injective? 3. From the textbook page 59: 3,4,5,7,9,12,16 Reminder: The rst exam will be in class on March 3. 1...
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This note was uploaded on 05/09/2011 for the course MAT 310 taught by Professor Staff during the Spring '08 term at SUNY Stony Brook.

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