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Math Help - Orthogonal Matrices

  1. #1
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    Orthogonal Matrices

    why are orthogonal matrices important?
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  2. #2
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    Re: Orthogonal Matrices

    Because they are easy! More generally, we can think of any matrix as the "change of basis" matrix showing how the components of a vector change if you change from one basis to another. In particular, an orthogonal matrix is a "change of basis" matrix where both bases are "orthonormal" (all basis vectors have length 1 and are orthogonal to one another) and those are particularly simple bases.
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  3. #3
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    Re: Orthogonal Matrices

    From an applications standpoint, orthogonal matrices are important because rotations of a vector can be represented by an orthogonal matrix.
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