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Math Help - Algebra2

  1. #1
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    Exclamation Algebra2

    Show that if A and B are any 2x2 matrices with real entries, then sqaure of
    (AB-BA) is a multiple of the identity. Is the result true for nxn matrices with n not equal 2?

    Thanks very much
    Last edited by CaptainBlack; May 11th 2006 at 09:09 PM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by suedenation
    Show that if A and B are any 2x2 matrices with real entries, then sqaure of
    (AB-BA) is a multiple of the identity. Is the result true for nxn matrices with n not equal 2?

    Thanks very much
    There's probably a trick to doing the first part, but it CAN be done simply by brute force. I warn you: it's a depressingly long calculation.

    -Dan
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by topsquark
    There's probably a trick to doing the first part, but it CAN be done simply by brute force. I warn you: it's a depressingly long calculation.

    -Dan
    Don't forget the RSA you will get from typing all those metrices in TeX

    RonL
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