Find the inverse, if it exists, for the matrix.
-$$\left[ \begin{array} { l l l }
5 & - 2 & 4 \
10 & - 3 & 8 \
5 & - 1 & 4
\end{array} \right]$$
A)
$$\left[ \begin{array} { l l l }
\frac { 2 } { 5 } & \frac { 1 } { 5 } & - \frac { 1 } { 2 } \
\frac { 1 } { 2 } & \frac { 4 } { 3 } & \frac { 5 } { 8 } \
1 & - 4 & \frac { 1 } { 4 }
\end{array} \right]$$
B) The inverse does not exist.
C)
$$\left[ \begin{array} { l l l }
\frac { 1 } { 5 } & \frac { 1 } { 10 } & \frac { 1 } { 4 } \
\frac { 1 } { 10 } & - \frac { 1 } { 3 } & \frac { 1 } { 8 } \
\frac { 1 } { 5 } & - 1 & \frac { 1 } { 4 }
\end{array} \right]$$
D)
$\left[\begin{array}{ccc}
5 & 10 & 5 \
-2 & -3 & -1 \
4 & 8 & 4
\end{array}\right]$

Question

Find the inverse, if it exists, for the matrix.
-$$\left[ \begin{array} { l l l } 
5 & - 2 & 4 \
10 & - 3 & 8 \
5 & - 1 & 4
\end{array} \right]$$
A)
$$\left[ \begin{array} { l l l } 
\frac { 2 } { 5 } & \frac { 1 } { 5 } & - \frac { 1 } { 2 } \
\frac { 1 } { 2 } & \frac { 4 } { 3 } & \frac { 5 } { 8 } \
1 & - 4 & \frac { 1 } { 4 }
\end{array} \right]$$
B) The inverse does not exist.
C)
$$\left[ \begin{array} { l l l } 
\frac { 1 } { 5 } & \frac { 1 } { 10 } & \frac { 1 } { 4 } \
\frac { 1 } { 10 } & - \frac { 1 } { 3 } & \frac { 1 } { 8 } \
\frac { 1 } { 5 } & - 1 & \frac { 1 } { 4 }
\end{array} \right]$$
D)
$\left[\begin{array}{ccc}
5 & 10 & 5 \
-2 & -3 & -1 \
4 & 8 & 4
\end{array}\right]$

Quizplus · Accepted Answer

The determinant of the given matrix is 0, indicating that the matrix is singular and does not have an inverse.

Find the Inverse, If It Exists, for the Matrix [5−2410−385−14]\left[ \begin{array} { l l l } 5 & - 2 & 4 \\10 & - 3 & 8 \\5 & - 1 & 4\end{array} \right]​5105​−2−3−1​484​​

Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { l l l } 5 & - 2 & 4 \\10 & - 3 & 8 \\5 & - 1 & 4\end{array} \right]$