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Math Help - x = x0 + tv be a line in Rn and let T:Rn->rn be a linear operator

  1. #1
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    x = x0 + tv be a line in Rn and let T:Rn->rn be a linear operator

    Hello again, Help!

    Let x=x0 + tv be a line in Rn and let T: Rn ->Rn be a linear opeartor on Rn. What kind of geoemtric object is the image of this line under the operator T? Explain our reasoning.

    The geometric object is what??? I don't quite understand linear operator. I want to say it is a line just because it sates it anyway but I know I am missign something. Thoughts???
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  2. #2
    Super Member Rebesques's Avatar
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    Find T(x0+tv) using the fact that T is linear. The result is...
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