Find the inverse of the matrix.
-$$\left[ \begin{array} { c c }
- 2 & - 2 \
- 6 & - 6
\end{array} \right]$$
A) $\left[ \begin{array} { c c } \frac { 3 } { 16 } & \frac { 1 } { 16 } \ \frac { 3 } { 16 } & \frac { 1 } { 16 } \end{array} \right]$
B) $\left[ \begin{array} { c c } - \frac { 3 } { 16 } & \frac { 1 } { 16 } \ \frac { 3 } { 16 } & - \frac { 1 } { 16 } \end{array} \right]$
C) $\left[ \begin{array} { c c } \frac { 3 } { 16 } & - \frac { 1 } { 16 } \ - \frac { 3 } { 16 } & \frac { 1 } { 16 } \end{array} \right]$
D) No inverse

Question

Find the inverse of the matrix.
-$$\left[ \begin{array} { c c } 
- 2 & - 2 \
- 6 & - 6
\end{array} \right]$$
A) $\left[ \begin{array} { c c } \frac { 3 } { 16 } & \frac { 1 } { 16 } \ \frac { 3 } { 16 } & \frac { 1 } { 16 } \end{array} \right]$
B) $\left[ \begin{array} { c c } - \frac { 3 } { 16 } & \frac { 1 } { 16 } \ \frac { 3 } { 16 } & - \frac { 1 } { 16 } \end{array} \right]$
C) $\left[ \begin{array} { c c } \frac { 3 } { 16 } & - \frac { 1 } { 16 } \ - \frac { 3 } { 16 } & \frac { 1 } { 16 } \end{array} \right]$
D) No inverse

Quizplus · Accepted Answer

The given matrix is singular (its rows are linearly dependent), so it does not have an inverse.

Find the Inverse of the Matrix [−2−2−6−6]\left[ \begin{array} { c c } - 2 & - 2 \\- 6 & - 6\end{array} \right][−2−6​−2−6​]

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