Let be an imaginary eigenvalue of an orthogonal matrix Q adn let X be a corresponding eigenvector. Prove that
Ok here is what I did:
Why can't ?
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Hi, it should be alpha^2 and not |alpha|^2 cause you don't take complex conjugate but rather the transpose only, and because alpha=ai a is real, alpha^2=-a^2 so it cannot be equal 1.
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