Find the inverse of the matrix.
-$$\left[ \begin{array} { l l l }
1 & 3 & 2 \
1 & 3 & 3 \
2 & 7 & 8
\end{array} \right]$$

A) $\left[ \begin{array} { l l l } 1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \ 1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \ \frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 } \end{array} \right]$

B) $\left[ \begin{array} { l l l } - 1 & - 3 & - 2 \ - 1 & - 3 & - 3 \ - 2 & - 7 & - 8 \end{array} \right]$

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

D) No inverse

Question

Find the inverse of the matrix.
-$$\left[ \begin{array} { l l l } 
1 & 3 & 2 \
1 & 3 & 3 \
2 & 7 & 8
\end{array} \right]$$

A) $\left[ \begin{array} { l l l } 1 & \frac { 1 } { 3 } & \frac { 1 } { 2 } \ 1 & \frac { 1 } { 3 } & \frac { 1 } { 3 } \ \frac { 1 } { 2 } & \frac { 1 } { 7 } & \frac { 1 } { 8 } \end{array} \right]$

B) $\left[ \begin{array} { l l l } - 1 & - 3 & - 2 \ - 1 & - 3 & - 3 \ - 2 & - 7 & - 8 \end{array} \right]$

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

D) No inverse

Quizplus · Accepted Answer

To find the inverse of a matrix, one must calculate the determinant of the matrix and ensure it is not zero (indicating the matrix is invertible), then apply the formula involving adjugates and determinants. The correct inverse provided in option C is the result of such a calculation, indicating that the original matrix is indeed invertible and that the calculations for the inverse have been correctly performed. Options A and B do not represent the inverse of the given matrix, and the matrix is not non-invertible as suggested by option D.

Find the Inverse of 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 of the Matrix $\left[ \begin{array} { l l l } 1 & 3 & 2 \\1 & 3 & 3 \\2 & 7 & 8\end{array} \right]$