Consider the following matrix. $$\left[ \begin{array}{cc|c} -5 & -3 & 5 \cr 2 & 1 & 9 \cr \end{array} \right]$$ After the row operation $\rho_1 \rightarrow \rho_1 + 3 \rho_2$, which of the following operations on the matrix will yield a reduced row echelon form?

A. $\rho_2 \rightarrow \frac{-1}{2}\rho_2$
B. $\rho_2 \rightarrow 2\rho_1 + \rho_2$
C. $\rho_2 \rightarrow \frac{1}{2}\rho_2$
D. $\rho_2 \rightarrow -2\rho_1 + \rho_2$