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Math Help - True/false question

  1. #1
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    True/false question

    http://www.ma.utexas.edu/users/asofer/S09/Review2.jpg

    number 8, part iv.

    I don't really know what to do...it looks similar to iii (which is false) but I don't know if that would help me. I don't see why it would be true, but if it's false I have to prove it's false.
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  2. #2
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    Write it out

    (\mathbf{A}\mathbf{B}\mathbf{A}^{-1})^3 = \mathbf{A}\mathbf{B}\mathbf{A}^{-1} \mathbf{A}\mathbf{B}\mathbf{A}^{-1} \mathbf{A}\mathbf{B}\mathbf{A}^{-1}
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