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    Matrix Representation : Orthogonal Transformation and Determinant

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    Please see the attached file for full problem description.

    Write a proof for the following statement:
    If P is an n x n orthogonal matrix, then det(P) = 1 or -1. Show work.

    Help:
    det: is the determinant

    © BrainMass Inc. brainmass.com March 4, 2021, 5:49 pm ad1c9bdddf
    https://brainmass.com/math/matrices/matrix-representation-orthogonal-transformation-determinant-12943

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    ** Please see the attached file for the complete solution response **

    1. Write a proof for the following ...

    Solution Summary

    In this solution, orthogonal matrices are proven to have a determinant of 1 or -1.

    $2.49

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