This is a problem given in a quiz. Even after reading up a related question, I cannot figure it out.
Determine an LU-factorization of $$ C = \begin{bmatrix} 3 & 1 & -4 \\ 6 & -3 & 10 \\ -9 & 5 & -11 \\ -3 & 0 & -7 \\ 6 & -4 & 2 \end{bmatrix} $$
In the related question, I can acquire an upper triangular matrix with row operations and permute the rows. However, I can't turn this into an upper triangular matrix, only a lower one, but then it becomes UL-factorization.
Any insight is welcome.