HW7 - Math 3013 Homework Set 7 Problems from 3.3 (pgs....

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Math 3013 Homework Set 7 Problems from § 3.3 (pgs. 211-212 of text): 1,3,5,7,9,11 Problems from § 3.4 (pgs. 226-229 of text): 1,5,7,16,20,26 1. (Problems 1,3,5,7,9,11 in § 3.3) Find the coordinate vector of the given vector relative to the indicated ordered basis. (a) (Problem 3.3.1) [ - 1 , 1] R 2 , relative to ([0 , 1] , [1 , 0]) (b) (Problem 3.3.3) [4 , 6 , 2] R 3 , relative to ([2 , 0 , 0] , [0 , 1 , 1] , [0 , 0 , 1]) (c) (Problem 3.3.5) [3 , 13 , - 1] R 3 , relative to ([1 , 3 , - 2] , [4 , 1 , 3] , [ - 1 , 2 , 0]) (d) (Problem 3.3.7) x 3 + x 2 - 2 x + 4 in P 3 , relative to ( 1 , x 2 , x, x 3 ) (e) (Problem 3.3.9) x + x 4 in P 4 , relative to ( 1 , 2 x - 1 , x 3 + x 4 , 2 x 3 , x 2 + 2 ) (f) (Problem 3.3.11) x 3 - 4 x 2 + 3 x + 7 relative to B 0 = n ( x - 2) 3 , ( x - 2) 2 , x - 2 , 1 o 2. Let F be the vector space of functions f : R R . Determine whetther the following functions T are linear transformations. (a) (Problem 3.4.1)
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This homework help was uploaded on 04/22/2008 for the course MATH 3613 taught by Professor Binegar during the Spring '08 term at Oklahoma State.

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HW7 - Math 3013 Homework Set 7 Problems from 3.3 (pgs....

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