Find the inverse of the invertible matrix.
-$\left[ \begin{array} { l l l } 1 & 0 & 8 \ 1 & 2 & 3 \ 2 & 5 & 3 \end{array} \right]$
A) $\left[ \begin{array} { l l l } 1 & 1 & 2 \ 0 & 2 & 5 \ 8 & 3 & 3 \end{array} \right]$
B) $\left[ \begin{array} { r r r } - 1 & - 1 & 2 \ 0 & 2 & - 5 \ 8 & 2 & 3 \end{array} \right]$
C) $\left[ \begin{array} { r r r } 9 & - 40 & 16 \ - 3 & 13 & - 5 \ - 1 & 5 & - 2 \end{array} \right]$
D) $\left[ \begin{array} { r r r } - 1 & 0 & - 8 \ - 1 & - 2 & - 3 \ - 2 & - 5 & - 3 \end{array} \right]$

Question

Quizplus · Accepted Answer

To find the inverse of a matrix, one typically uses the formula involving the adjugate and the determinant of the matrix. The correct inverse matrix is calculated based on applying this method, which involves finding the matrix of cofactors, transposing it to get the adjugate, and then dividing by the determinant of the original matrix. Option C is the result of correctly applying this process to the given matrix.

Find the Inverse of the Invertible Matrix [108123253]\left[ \begin{array} { l l l } 1 & 0 & 8 \\ 1 & 2 & 3 \\ 2 & 5 & 3 \end{array} \right]​112​025​833​​

Find the Inverse of the Invertible Matrix $\left[ \begin{array} { l l l } 1 & 0 & 8 \\ 1 & 2 & 3 \\ 2 & 5 & 3 \end{array} \right]$