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Eigenvalues & Eigenvectorsmedium
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Let u,v∈Rnu, v \in \mathbb{R}^nu,v∈Rn be nonzero vectors with n≥2n \geq 2n≥2. Let A=uvTA = u v^TA=uvT be an n×nn \times nn×n matrix of rank 1. Which of the following statements about the eigenvalues of AAA is/are always true? (Select all that apply)