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Math Help - Question in the analysis

  1. #1
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    Question in the analysis

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  2. #2
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    Re: Question in the analysis

    This is pretty easy. For i), there is no function S, whether linear or not, such that ST = id.
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  3. #3
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    Re: Question in the analysis

    Notice that once you have taken T(\lambda_1, \lambda_2, \lambda_3, \cdot\cdot\cdot)= (\lambda_2, \lambda_3, \lambda_4, \cdot\cdot\cdot) you have lost all information on \lambda_1. There is no way to know what \lambda_1 is in order to regain it. A more technical way of saying that is that T is not "one to one". Many different vectors (\lambda_1, \lambda_2, \lambda_3, \cdot\cdot\cdot) will be mapped into the same (\lambda_2, \lambda_3, \lambda_4, \cdot\cdot\cdot).

    As for the second problem, the only difficulty is that there are an infinite number of correct answer- just choose one.
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  4. #4
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    Re: Question in the analysis

    Thank you very much
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