# Matrix Representation : Orthogonal Transformation and Determinant

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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

https://brainmass.com/math/matrices/matrix-representation-orthogonal-transformation-determinant-12943

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1. Write a proof for the following ...

#### Solution Summary

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

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