Mathematics II20755 marksNumerical: reduced echelon formRow reduction and Echelon forms
Change into reduced echelon form of the matrix
Change into reduced echelon form of the matrix $$\begin{pmatrix} 0 & 3 & -6 \ 3 & -1 & 8 \ 3 & -9 & 12 \end{pmatrix}$$ [5]
$$A = \begin{pmatrix} 0 & 3 & -6 \ 3 & -1 & 8 \ 3 & -9 & 12 \end{pmatrix}$$ All entries present. Task: reduce to RREF. --- $$\begin{pmatrix} 3 & -1 & 8 \ 0 & 3 & -6 \ 3 & -9 & 12 \end{pmatrix}$$ Row 3: $(3-3,\ -9-(-1),\ 12-8) = (0, -8, 4)$ $$\begin{pmatrix} 3 & -1 & 8 \ 0 & 3 & -6 \ 0 & -8 ...