Following the proof of Theorem 9, find Householder matrices S_{1} \text { and } S_{2} such that S_{2} S_{1} A is in trapezoidal form, where
A=\left[\begin{array}{rc}1 & -2 / 3 \\-1 & 3 \\0 & -2 \\-1 & 1 \\1 & 0\end{array}\right].
Following the proof of Theorem 9, find Householder matrices S_{1} \text { and } S_{2} such that S_{2} S_{1} A is in trapezoidal form, where
A=\left[\begin{array}{rc}1 & -2 / 3 \\-1 & 3 \\0 & -2 \\-1 & 1 \\1 & 0\end{array}\right].