Exercise30.2
Let \(F\) be a Householder reflector. That is, for some vector \(v\text{,}\)
\begin{equation*} F = I - 2 \frac{v v^\star}{v^\star v}. \end{equation*}Determine the eigenvalues, determinant, and singular values of \(F\text{.}\)
Let \(F\) be a Householder reflector. That is, for some vector \(v\text{,}\)
\begin{equation*} F = I - 2 \frac{v v^\star}{v^\star v}. \end{equation*}Determine the eigenvalues, determinant, and singular values of \(F\text{.}\)