Lee Hobbs

01/19/2023 · Middle School

Which of the following matrices (A-E below) is the inverse matrix of: \( \left(\begin{array}{ccc}1 & 2 & -2 \\ 3 & 2 & -4 \\ -3 & 0 & 5\end{array}\right) ? \) A: \( \left(\begin{array}{ccc}-5 / 4 & 5 / 4 & 1 / 2 \\ 3 / 8 & 1 / 8 & 1 / 4 \\ -3 / 4 & 3 / 4 & 1 / 2\end{array}\right) \) B: \( \left(\begin{array}{ccc}5 / 4 & 1 / 4 & 1 / 2 \\ 3 / 8 & -3 / 8 & 1 / 4 \\ 1 / 4 & 3 / 4 & 1 / 4\end{array}\right) \) C: \( \left(\begin{array}{ccc}-5 / 4 & 1 / 4 & 1 / 4 \\ 3 / 2 & 1 / 2 & -1 / 4 \\ -3 / 4 & 1 / 4 & 1 / 2\end{array}\right) \) D: \( \left(\begin{array}{ccc}-5 / 4 & 1 / 2 & -1 / 4 \\ 1 / 4 & -1 / 2 & -1 / 4 \\ 3 / 2 & -1 / 4 & -1 / 2\end{array}\right) \) E: \( \left(\begin{array}{ccc}5 / 4 & -1 / 4 & -1 / 4 \\ 1 / 3 & 3 / 8 & 1 / 4 \\ 1 / 2 & -3 / 4 & 1 / 2\end{array}\right) \)