Find the inverse, if it exists, for the matrix.
-$$\left[ \begin{array} { l l l }
7 & - 5 & 2 \
14 & - 9 & 4 \
7 & - 4 & 2
\end{array} \right]$$
A) The inverse does not exist.
B)
$$\left[ \begin{array} { l l l }
7 & 14 & 7 \
- 5 & - 9 & - 4 \
2 & 4 & 2
\end{array} \right]$$
C)
$$\left[ \begin{array} { l l l }
\frac { 1 } { 7 } & \frac { 1 } { 7 } & - \frac { 5 } { 2 } \
\frac { 1 } { 2 } & \frac { 10 } { 9 } & \frac { 7 } { 4 } \
1 & - \frac { 1 } { 2 } & \frac { 1 } { 2 }
\end{array} \right]$$
D)
$$\left[ \begin{array} { c c c }
\frac { 1 } { 7 } & \frac { 1 } { 14 } & \frac { 1 } { 2 } \
\frac { 1 } { 14 } & - \frac { 1 } { 9 } & \frac { 1 } { 4 } \
\frac { 1 } { 7 } & - \frac { 1 } { 4 } & \frac { 1 } { 2 }
\end{array} \right]$$

Question

Find the inverse, if it exists, for the matrix.
-$$\left[ \begin{array} { l l l } 
7 & - 5 & 2 \
14 & - 9 & 4 \
7 & - 4 & 2
\end{array} \right]$$
A) The inverse does not exist.
B)
$$\left[ \begin{array} { l l l } 
7 & 14 & 7 \
- 5 & - 9 & - 4 \
2 & 4 & 2
\end{array} \right]$$
C)
$$\left[ \begin{array} { l l l } 
\frac { 1 } { 7 } & \frac { 1 } { 7 } & - \frac { 5 } { 2 } \
\frac { 1 } { 2 } & \frac { 10 } { 9 } & \frac { 7 } { 4 } \
1 & - \frac { 1 } { 2 } & \frac { 1 } { 2 }
\end{array} \right]$$
D)
$$\left[ \begin{array} { c c c } 
\frac { 1 } { 7 } & \frac { 1 } { 14 } & \frac { 1 } { 2 } \
\frac { 1 } { 14 } & - \frac { 1 } { 9 } & \frac { 1 } { 4 } \
\frac { 1 } { 7 } & - \frac { 1 } { 4 } & \frac { 1 } { 2 }
\end{array} \right]$$

Quizplus · Accepted Answer

The determinant of the matrix is 0, which means the matrix is singular and does not have an inverse.

Find the Inverse, If It Exists, for the Matrix [7−5214−947−42]\left[ \begin{array} { l l l } 7 & - 5 & 2 \\14 & - 9 & 4 \\7 & - 4 & 2\end{array} \right]​7147​−5−9−4​242​​

Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { l l l } 7 & - 5 & 2 \\14 & - 9 & 4 \\7 & - 4 & 2\end{array} \right]$