Guided Example #1 - Matrices - Determinants and Cramer's Rule

Use the matrix ${\displaystyle \left[\begin{array}{ccc}3& 2& 3\\ -3& 4& 2\\ 1& 3& 4\end{array}\right]}$to answer the following question: which of the following matrices has the same determinant as the matrix above?

A. ${\displaystyle \left[\begin{array}{ccc}2& 3& 3\\ 4& -3& 2\\ 3& 1& 4\end{array}\right]}$ B. ${\displaystyle \left[\begin{array}{ccc}3& 2& 3\\ 2& 4& -3\\ 4& 3& 1\end{array}\right]}$ C. ${\displaystyle \left[\begin{array}{ccc}0& 6& 5\\ -3& 4& 2\\ 3& 2& 3\end{array}\right]}$ D. ${\displaystyle \left[\begin{array}{ccc}3& 2& 3\\ 0& 6& 5\\ 1& 3& 4\end{array}\right]}$