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Thread: Form of an operator

  1. #1
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    Form of an operator

    Please help with this problem.

    Let x be a vector in a three-dimensional space R^3 and c be a non zero constant vector and let A be an operator acting on R^3 with values ​​in R^3, then I'm looking for the form of the operator A such that A(x + c) = c + A^2(x)
    Thank you for your reply.
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  2. #2
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    Re: Form of an operator

    What exactly do you mean by form of the operator? I do not think there is any form that represents general operators. Unless we are talking about linear operators, in which case they can be represented by matrices.
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