Find the inverse, if it exists, for the matrix.
-$\left[ \begin{array} { l l l } 1 & 0 & 8 \ 1 & 2 & 3 \ 2 & 5 & 3 \end{array} \right]$
A) The inverse does not exist.
B)
$$\left[ \begin{array} { l l l }
1 & 1 & 2 \
0 & 2 & 5 \
8 & 3 & 3
\end{array} \right]$$
C)
$$\left[ \begin{array} { r r r }
- 1 & 0 & - 8 \
- 1 & - 2 & - 3 \
- 2 & - 5 & - 3
\end{array} \right]$$

D)

$$\left[ \begin{array} { r r r }
9 & - 40 & 16 \
- 3 & 13 & - 5 \
- 1 & 5 & - 2
\end{array} \right]$$

Question

Find the inverse, if it exists, for the matrix.
-$\left[ \begin{array} { l l l } 1 & 0 & 8 \ 1 & 2 & 3 \ 2 & 5 & 3 \end{array} \right]$
A) The inverse does not exist.
B)
$$\left[ \begin{array} { l l l } 
1 & 1 & 2 \
0 & 2 & 5 \
8 & 3 & 3
\end{array} \right]$$
C)
$$\left[ \begin{array} { r r r } 
- 1 & 0 & - 8 \
- 1 & - 2 & - 3 \
- 2 & - 5 & - 3
\end{array} \right]$$

D)

$$\left[ \begin{array} { r r r } 
9 & - 40 & 16 \
- 3 & 13 & - 5 \
- 1 & 5 & - 2
\end{array} \right]$$

Quizplus · Accepted Answer

The inverse of a matrix exists if the determinant of the matrix is non-zero. The given matrix has a non-zero determinant, and option D provides the correct inverse matrix after performing the necessary calculations involving finding the matrix of minors, cofactors, adjugate, and then dividing by the determinant.

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