Find the Inverse, If It Exists, for the Matrix $\left[ \begin{array} { r r r r } 0 & 5 & 0 & - 2 \\ 6 & 15 & - 3 & - 4 \\ 12 & 10 & - 6 & - 2 \\ 18 & 0 & - 6 & 0 \end{array} \right]$

Find the inverse, if it exists, for the matrix.
- $\left[ \begin{array} { r r r r } 0 & 5 & 0 & - 2 \\ 6 & 15 & - 3 & - 4 \\ 12 & 10 & - 6 & - 2 \\ 18 & 0 & - 6 & 0 \end{array} \right]$

A)
$\left[ \begin{array} { r r r r } - \frac { 1 } { 3 } & - \frac { 3 } { 5 } & - 1 & - 2 \\ \frac { 1 } { 3 } & \frac { 2 } { 5 } & 1 & \frac { 1 } { 2 } \\ - \frac { 1 } { 3 } & - \frac { 1 } { 5 } & - 1 & - \frac { 1 } { 2 } \\ \frac { 1 } { 6 } & 0 & \frac { 1 } { 3 } & 0 \end{array} \right]$
B)
$$\left[ \begin{array} { c c c c } \frac { 1 } { 3 } & - \frac { 1 } { 3 } & \frac { 1 } { 3 } & - \frac { 1 } { 6 } \\\frac { 3 } { 5 } & - \frac { 2 } { 5 } & \frac { 1 } { 5 } & 0 \\1 & - 1 & 1 & \frac { 1 } { 3 } \\- \frac { 3 } { 2 } & - 1 & \frac { 1 } { 2 } & 0\end{array} \right]$$
C) The inverse does not exist.
D)
$$\left[ \begin{array} { c c c c } - \frac { 1 } { 3 } & \frac { 1 } { 3 } & - \frac { 1 } { 3 } & \frac { 1 } { 6 } \\- \frac { 3 } { 5 } & \frac { 2 } { 5 } & - \frac { 1 } { 5 } & 0 \\- 1 & 1 & - 1 & \frac { 1 } { 3 } \\- 2 & 1 & - \frac { 1 } { 2 } & 0\end{array} \right]$$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free