Find the inverse of the matrix.
-$$\left[ \begin{array} { l l }
6 & - 3 \
3 & - 6
\end{array} \right]$$
A) $\left[ \begin{array} { c } \frac { 2 } { 9 } - \frac { 1 } { 9 } \ \frac { 1 } { 9 } - \frac { 2 } { 9 } \end{array} \right]$
B) $\left[ \begin{array} { r r } - \frac { 2 } { 9 } & - \frac { 1 } { 9 } \ \frac { 1 } { 9 } & \frac { 2 } { 9 } \end{array} \right]$
C) $\left[ \begin{array} { r r } \frac { 2 } { 9 } & \frac { 1 } { 9 } \ - \frac { 1 } { 9 } & - \frac { 2 } { 9 } \end{array} \right]$
D) $\left[ \begin{array} { l } \frac { 1 } { 9 } - \frac { 2 } { 9 } \ \frac { 2 } { 9 } - \frac { 1 } { 9 } \end{array} \right]$

Question

Find the inverse of the matrix.
-$$\left[ \begin{array} { l l } 
6 & - 3 \
3 & - 6
\end{array} \right]$$
A) $\left[ \begin{array} { c } \frac { 2 } { 9 } - \frac { 1 } { 9 } \ \frac { 1 } { 9 } - \frac { 2 } { 9 } \end{array} \right]$
B) $\left[ \begin{array} { r r } - \frac { 2 } { 9 } & - \frac { 1 } { 9 } \ \frac { 1 } { 9 } & \frac { 2 } { 9 } \end{array} \right]$
C) $\left[ \begin{array} { r r } \frac { 2 } { 9 } & \frac { 1 } { 9 } \ - \frac { 1 } { 9 } & - \frac { 2 } { 9 } \end{array} \right]$
D) $\left[ \begin{array} { l } \frac { 1 } { 9 } - \frac { 2 } { 9 } \ \frac { 2 } { 9 } - \frac { 1 } { 9 } \end{array} \right]$

Quizplus · Accepted Answer

The correct answer is A because the inverse of the given matrix is $\left[ \begin{array} { c } \frac { 2 } { 9 } - \frac { 1 } { 9 } \ \frac { 1 } { 9 } - \frac { 2 } { 9 } \end{array} \right]$.

Find the Inverse of the Matrix [6−33−6]\left[ \begin{array} { l l } 6 & - 3 \\3 & - 6\end{array} \right][63​−3−6​]

Find the Inverse of the Matrix $\left[ \begin{array} { l l } 6 & - 3 \\3 & - 6\end{array} \right]$