Find the inverse, if it exists, for the matrix.
-$$\left[ \begin{array} { l l l }
1 & 3 & 2 \
1 & 3 & 3 \
2 & 7 & 8
\end{array} \right]$$
A) The inverse does not exist.
B)
$$\left[ \begin{array} { c c c }
1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \
1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \
\frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 }
\end{array} \right]$$
C)
$$\left[ \begin{array} { l l l }
- 1 & - 3 & - 2 \
- 1 & - 3 & - 3 \
- 2 & - 7 & - 8
\end{array} \right]$$

D)

$$\left[ \begin{array} { r r r }
- 3 & 10 & - 3 \
2 & - 4 & 1 \
- 1 & 1 & 0
\end{array} \right]$$

Question

Find the inverse, if it exists, for the matrix.
-$$\left[ \begin{array} { l l l } 
1 & 3 & 2 \
1 & 3 & 3 \
2 & 7 & 8
\end{array} \right]$$
A) The inverse does not exist.
B)
$$\left[ \begin{array} { c c c } 
1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \
1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \
\frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 }
\end{array} \right]$$
C)
$$\left[ \begin{array} { l l l } 
- 1 & - 3 & - 2 \
- 1 & - 3 & - 3 \
- 2 & - 7 & - 8
\end{array} \right]$$

D)

$$\left[ \begin{array} { r r r } 
- 3 & 10 & - 3 \
2 & - 4 & 1 \
- 1 & 1 & 0
\end{array} \right]$$

Quizplus · Accepted Answer

To determine if a matrix has an inverse, we check if its determinant is non-zero. The determinant of the given matrix is non-zero, indicating it has an inverse. The correct inverse is calculated through methods such as row operations or using the formula involving adjugates and determinants, leading to the matrix in option D.

Find the Inverse, If It Exists, for the Matrix [132133278]\left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]​112​337​238​​

Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$