Find the inverse, if it exists, for the matrix.
-$\left[ \begin{array} { r r } 2 & - 3 \ - 4 & 6 \end{array} \right]$
A) The inverse does not exist.

B)$\left[\begin{array}{c}
\frac{1}{3}-\frac{1}{6} \
-\frac{2}{9} \quad \frac{1}{9}
\end{array}\right]$
C)
$$\left[ \begin{array} { l l }
\frac { 2 } { 9 } & \frac { 1 } { 9 } \
\frac { 1 } { 3 } & \frac { 1 } { 6 }
\end{array} \right]$$
D)
$$\left[ \begin{array} { l l }
\frac { 1 } { 3 } & \frac { 1 } { 6 } \
\frac { 2 } { 9 } & \frac { 1 } { 9 }
\end{array} \right]$$

Question

Find the inverse, if it exists, for the matrix.
-$\left[ \begin{array} { r r } 2 & - 3 \ - 4 & 6 \end{array} \right]$
A) The inverse does not exist.

B)$\left[\begin{array}{c}
\frac{1}{3}-\frac{1}{6} \
-\frac{2}{9} \quad \frac{1}{9}
\end{array}\right]$
C)
$$\left[ \begin{array} { l l } 
\frac { 2 } { 9 } & \frac { 1 } { 9 } \
\frac { 1 } { 3 } & \frac { 1 } { 6 }
\end{array} \right]$$
D)
$$\left[ \begin{array} { l l } 
\frac { 1 } { 3 } & \frac { 1 } { 6 } \
\frac { 2 } { 9 } & \frac { 1 } { 9 }
\end{array} \right]$$

Quizplus · Accepted Answer

The determinant of the matrix is $2*6 - (-3)*(-4) = 12 - 12 = 0$. Since the determinant is 0, the matrix does not have an inverse.

Find the Inverse, If It Exists, for the Matrix [2−3−46]\left[ \begin{array} { r r } 2 & - 3 \\ - 4 & 6 \end{array} \right][2−4​−36​]

Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { r r } 2 & - 3 \\ - 4 & 6 \end{array} \right]$