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Math Help - matrix orthogonal

  1. #1
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    matrix orthogonal

    This is probably easier than I think it looks but..im stumped...
    Here goes

    A is an n x n orthoganal matrix...show that a^t(transpose of a) is also orthoganal

    Thanks in advance
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  2. #2
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    Quote Originally Posted by deragon999 View Post
    This is probably easier than I think it looks but..im stumped...
    Here goes

    A is an n x n orthoganal matrix...show that a^t(transpose of a) is also orthoganal

    Thanks in advance
    It follows from the definition! Read

    Orthogonal matrix - Wikipedia, the free encyclopedia

    to see what I mean ....
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  3. #3
    Moo
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    Hello,

    Quote Originally Posted by deragon999 View Post
    This is probably easier than I think it looks but..im stumped...
    Here goes

    A is an n x n orthoganal matrix...show that a^t(transpose of a) is also orthoganal

    Thanks in advance
    A matrix A is orthogonal if A^{-1}=A^t

    By taking the transpose in each side, we have :

    (A^{-1})^t=(A^t)^t

    \implies (A^t)^{-1}=(A^t)^t

    Hence A^t is orthogonal...
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