Ononot — Let v \in \mathbb{R}^n be a unit vector (i.e., v^T v = 1), a

Eigenvalues & Eigenvectorsmedium

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Let $v \in \mathbb{R}^n$ be a unit vector (i.e., $v^T v = 1$ ), and let $H = I - 2vv^T$ be the corresponding Householder reflection matrix. What are the eigenvalues of $H$ ?