Find the Inverse of the Matrix A, If It Exists $$A = \left[ \begin{array} { l l l } 1 & 0 & 8 \\1 & 2 & 3 \\2 & 5 & 3\end{array} \right]$$

question 55

Multiple Choice

Find the inverse of the matrix A, if it exists.
- $$A = \left[ \begin{array} { l l l } 1 & 0 & 8 \\1 & 2 & 3 \\2 & 5 & 3\end{array} \right]$$

• A) \(A ^ { - 1 } = \left[ \begin{array} { r r r } - 1 & 0 & - 8 \\ - 1 & - 2 & - 3 \\ - 2 & - 5 & - 3 \end{array} \right]\)
• B) \(\mathrm { A } ^ { - 1 }\) does not exist.
• C) \(A ^ { - 1 } = \left[ \begin{array} { r r r } 9 & - 40 & 16 \\ - 3 & 13 & - 5 \\ - 1 & 5 & - 2 \end{array} \right]\)
• D) \(\mathrm { A } ^ { - 1 } = \left[ \begin{array} { l l l } 1 & 1 & 2 \\ 0 & 2 & 5 \\ 8 & 3 & 3 \end{array} \right]\)