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Math Help - T-cyclic subspaces

  1. #1
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    T-cyclic subspaces

    For each linear operator T on the vector space V, find an ordered basis for the T-cyclic subspace generated by the vector z.

    (1) V=P_3 (R), T(f(x))=f"(x), and z=x^3

    (2) V=M_2x2(R), T(A)= (Matrix) [1 1]
    [2 2] A,
    and z=[0 1]
    [1 0].
    Last edited by alice8675309; November 17th 2010 at 11:34 AM. Reason: matrix mess up
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  2. #2
    Senior Member Tinyboss's Avatar
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    This looks like homework--what have you tried so far?
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