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Unformatted text preview: 2 T ) 3. Find the matrix T M of 4 2 : R R T , defined by ) , 4 , 2 3 , 2 ( ) , ( x y y x y x y x T , relative to the bases B = {(1,1), (1,0)} and D = natural basis of 4 R . Use the matrix to compute T ( u ) , where u = (1,2). (10 pts) ( Hint : Make sure that u is expressed with respect to the appropriate basis before you pass it through the matrix T M . The u given above is with respect to the natural basis of 2 R ) 4. Let 2 2 : R R T be linear, defined by ) , ( ) , ( y x y x T , and consider the (30 pts) bases B = natural basis of 2 R and D = {(1,1), (1,0)}. Find: (a) The matrix T M of T relative to the basis B. (b) The transition matrix P from basis B to basis D. (c) Use P above to find the matrix T N of T relative to the basis D....
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This test prep was uploaded on 04/18/2008 for the course MAT 250 taught by Professor Aristidou during the Spring '07 term at DigiPen Institute of Technology.
 Spring '07
 Aristidou
 Math

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