Chapter 7.5, Problem 1E

Let $Q=I-bu{u}^T$ be the Householder matrix defined by $\left(1\right)$, where $u={\left[1,-1,1,-1\right]}^T$. In Exercises 1-8, calculate the indicated product.

$Qx$, for $x=\left[\begin{array}{r}\hfill 3\\ \hfill 2\\ \hfill 5\\ \hfill 8\end{array}\right]$