# Identifying the Reduced Row Echelon Form of a Matrix

**Algebra**Level pending

\[ \text{rref} (P) = I_{3} \]

Which of the following matrices satisfy \(P \) in the above equation?

**A.** \(\left[ \begin{array} {ccc} 1 & 3 & 0 \\ -1 & -2 & 1 \\ 0 & 1 & 1 \end{array} \right] \)

**B.** \(\left[ \begin{array} {ccc} 5 & -1 & 2 \\ 9 & -1 & 1 \\ 1 & -1 & 3 \end{array} \right] \)

**C.** \(\left[ \begin{array} {ccc} -2 & 0 & 1\\ 7 & 5 & 1 \\ -2 & -1 & -3 \end{array} \right] \)

**D.** \(\left[ \begin{array} {ccc} -3 & 3 & 6 \\ 2 & -2 & 5 \\ 1 & -1 & 6 \end{array} \right] \)

**Notation**

\(\text{rref}(P) \) is the Reduced Row Echelon Form of matrix \(P\).

\(I_3 \) is the \( 3 \times 3 \) identity matrix