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Math Help - Proof of transpose

  1. #1
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    Proof of transpose

    How do I prove: (A^-1)^T = (A^T)^-1
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    MHF Contributor Bruno J.'s Avatar
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    Apply (AB)^T=B^TA^T to AA^{-1}=I.
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    am I allowed to combine the inverse and tranpose symbols into: A^-T
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    MHF Contributor Bruno J.'s Avatar
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    You won't go to prison for it, so I guess you're allowed. But it's neither good nor standard notation.
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by Noxide View Post
    am I allowed to combine the inverse and tranpose symbols into: A^-T
    Quote Originally Posted by Bruno J. View Post
    You won't go to prison for it, so I guess you're allowed. But it's neither good nor standard notation.
    I'd jail you for that.
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  6. #6
    Moo
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    Quote Originally Posted by Noxide View Post
    am I allowed to combine the inverse and tranpose symbols into: A^-T
    I'd suggest you avoid writing it this way
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  7. #7
    MHF Contributor Bruno J.'s Avatar
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    Quote Originally Posted by Drexel28 View Post
    I'd jail you for that.


    And everybody who's been in your dungeon knows what that means...
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  8. #8
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by Bruno J. View Post


    And everybody who's been in your dungeon knows what that means...
    You better mind your mouth boy or it's the riding crop for you.
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