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Unformatted text preview: or false ; circle your answer. You do not need to explain or justify your answer. (a) (2 points) The set of functions f in C [0 , 1] such that f (0) = f (1) is a subspace of C [0 , 1] . T F (b) (2 points) The linear transformation f : R 3 → R 2 given by f x y z = ± 1 2 3 4 5 6 ² x y z is onetoone. T F (c) (2 points) A linear transformation from R 4 to R 4 can have an image of dimension 2 and an null space of dimension 1 . T F (d) (2 points) There is a basis for R 4 consisting of eigenvectors of the matrix 1 0 0 0 0 1 0 0 0 0 2 0 0 0 0 3 . T F (e) (2 points) The vectors 11 1 , 1 2 1 span R 3 . T F...
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 Spring '08
 Anshelvich
 Math, Linear Algebra, Vector Space, linear transformation

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