Use Python to employ the householder algorithm to obtain the orthogonal transformation of the following matrix

Without using the built in function of Householder in python.

SHow the output after transformation using python

$\left[\begin{array}{ccc}1& -1& 4\\ 1& 4& -2\\ 1& 4& 2\\ 1& -1& 0\end{array}\right]$