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Math Help - orthogonal matrix

  1. #1
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    orthogonal matrix

    Prove that the row vectors of an orthogonal matrix A are unit vectors that are orthogonal to one another. My text gave the following hint: If A and B are nxn matrices satisfying BA=I, then B=A inverse and A=B inverse.

    I know that orthogonal matrices have columns that are unit vectors that are orthogonal to one another, but I am unsure how to prove that the rows follow the same properties.

    If you have any ideas, I would appreciate it. Thanks!
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  2. #2
    Senior Member Shanks's Avatar
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    well, If A is orthogonal matrix, then A^T is also a orthogonal matrix.
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  3. #3
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    oh, duh Thanks!
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