Ononot — A Householder reflection matrix has the form H = I

Matriceshard

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A Householder reflection matrix has the form $H = I - 2vv^T$ where $v$ is a unit vector (satisfies $v^Tv = 1$ ). For $v = \frac{1}{\sqrt{2}}\begin{pmatrix} 1 \\ 1 \end{pmatrix}$ , compute $H$ .