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Math Help - Show set of linear transformations from R^n to R^m

  1. #1
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    Show set of linear transformations from R^n to R^m

    Show that the set of all possible linear transformations from \Re^n to \Re^m, with addition and multiplication by a scalar defined by (T_1 + T_2)(x) = T_1(x) + T_2(x) and kT(x) = T(kx), is itself a vector space
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  2. #2
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    Linear Algebra: A modern Introduction by David Poole gives those in his examples, a good book to check out!
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  3. #3
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    How about this question:

    I took a part out of the text book, and another part from the student guide

    http://img27.imageshack.us/img27/2176/imagedef.jpg

    http://img25.imageshack.us/img25/5231/imagedef2.jpg
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