# Orthogonal Matrix and Eigenvalues : Let A be a 3 x 3 real orthogonal matrix with det A = 1. Prove that λ= 1 is an eigenvalue of A.

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Let A be a 3 x 3 real orthogonal matrix with det A = 1. Prove that λ= 1 is an eigenvalue of A.

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#### Solution Summary

Eigenvalues of an orthogonal 3x3 matrix are investigated. The solution is detailed and well presented.

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