Question

Transform $\left[\begin{array}{ccc}1& -1& 2\\ 2& 1& 3\\ 3& 2& 4\end{array}\right]$ into an upper triangular matrix by suitablr column transformations.

Answer 1

$\left[\begin{array}{ccc}1& -1& 2\\ 2& 1& 3\\ 3& 2& 4\end{array}\right]$
$\left[\begin{array}{ccc}1& -1& 2\\ 2& 1& 3\\ 1& 1& 1\end{array}\right]$
$\left[\begin{array}{ccc}1& -1& 2\\ 1& 2& 1\\ 1& 1& 1\end{array}\right]$
$\left[\begin{array}{ccc}1& -1& 2\\ 0& -3& -1\\ 1& 1& 1\end{array}\right]$
$\left[\begin{array}{ccc}1& -1& 2\\ 0& 3& -1\\ 0& 2& -1\end{array}\right]$
$\left[\begin{array}{ccc}1& 3& 2\\ 0& 1& -1\\ 0& 0& -1\end{array}\right]$