Find a Householder matrix S such that SBS = H, where H is a Hessenberg matrix and where B is given by
B=\left[\begin{array}{rrrr}1 & 2 & 4 & 2 \\3 & 3 & -4 & 2 \\0 & 3 & 9 & -1 \\0 & -4 & -2 & 8\end{array}\right].
Also, calculate the matrix SB.
Find a Householder matrix S such that SBS = H, where H is a Hessenberg matrix and where B is given by
B=\left[\begin{array}{rrrr}1 & 2 & 4 & 2 \\3 & 3 & -4 & 2 \\0 & 3 & 9 & -1 \\0 & -4 & -2 & 8\end{array}\right].
Also, calculate the matrix SB.