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Matrix query

  1. Jun 10, 2007 #1
    We know that if M is an orthogonal matrix,then DetM=(+-)1
    When Det M=1,thee transformation is a rotation.And for reflection about any one o all three axes DetM=-1.
    I did this..
    But I did not know that information:When Det M=1,thee transformation is a rotation.And for reflection about any one o all three axes DetM=-1.

    Can anyone please justify this...
    or give any link that can clarify the matter?
     
  2. jcsd
  3. Jun 11, 2007 #2

    mathwonk

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    try dimwension three. and recall a cubic polynomila has a real root.
     
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