Find the inverse of the matrix.
-$$\left[ \begin{array} { r r }
- 1 & 6 \
0 & 2
\end{array} \right]$$
A) $\left[ \begin{array} { r r } - 1 & 3 \ 0 & \frac { 1 } { 2 } \end{array} \right]$

B) $\left[ \begin{array} { r r } 0 & \frac { 1 } { 2 } \ - 1 & 3 \end{array} \right]$

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

D) $\left[ \begin{array} { c c } \frac { 1 } { 2 } & 3 \ 0 & - 1 \end{array} \right]$

Question

Find the inverse of the matrix.
-$$\left[ \begin{array} { r r } 
- 1 & 6 \
0 & 2
\end{array} \right]$$
A) $\left[ \begin{array} { r r } - 1 & 3 \ 0 & \frac { 1 } { 2 } \end{array} \right]$

B) $\left[ \begin{array} { r r } 0 & \frac { 1 } { 2 } \ - 1 & 3 \end{array} \right]$

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

D) $\left[ \begin{array} { c c } \frac { 1 } { 2 } & 3 \ 0 & - 1 \end{array} \right]$

Quizplus · Accepted Answer

The inverse of a 2x2 matrix $\left[ \begin{array} { r r } a & b \ c & d \end{array} \right]$ is $\frac{1}{ad-bc}\left[ \begin{array} { r r } d & -b \ -c & a \end{array} \right]$. For the given matrix, $a=-1$, $b=6$, $c=0$, $d=2$, so its inverse is $\frac{1}{(-1)(2)-(0)(6)}\left[ \begin{array} { r r } 2 & -6 \ 0 & -1 \end{array} \right] = \left[ \begin{array} { r r } -1 & 3 \ 0 & \frac{1}{2} \end{array} \right]$.

Find the Inverse of the Matrix [−1602]\left[ \begin{array} { r r } - 1 & 6 \\0 & 2\end{array} \right][−10​62​]

Find the Inverse of the Matrix $\left[ \begin{array} { r r } - 1 & 6 \\0 & 2\end{array} \right]$