# The inverse of the matrix $\left[\begin{array}{ccc}2 & 3 & 4 \\ 4 & 3 & 1 \\ 1 & 2 & 4\end{array}\right]$ is (A) $\left[\begin{array}{ccc}10 & -4 & -9 \\ -15 & 4 & 14 \\ 5 & -1 & -6\end{array}\right]$ (B) $\left[\begin{array}{ccc}-10 & 4 & 9 \\ 15 & -4 & -14 \\ -5 & 1 & 6\end{array}\right]$ (C) $\left[\begin{array}{ccc}-2 & \frac{4}{5} & \frac{9}{5} \\ 3 & -\frac{4}{5} & -\frac{14}{5} \\ -1 & \frac{1}{5} & \frac{6}{5}\end{array}\right]$ (D) $\left[\begin{array}{ccc}2 & -\frac{4}{5} & -\frac{9}{5} \\ -3 & \frac{4}{5} & \frac{14}{5} \\ 1 & -\frac{1}{5} & -\frac{6}{5}\end{array}\right]$

## Question ID - 157069 | SaraNextGen Top Answer The inverse of the matrix $\left[\begin{array}{ccc}2 & 3 & 4 \\ 4 & 3 & 1 \\ 1 & 2 & 4\end{array}\right]$ is (A) $\left[\begin{array}{ccc}10 & -4 & -9 \\ -15 & 4 & 14 \\ 5 & -1 & -6\end{array}\right]$ (B) $\left[\begin{array}{ccc}-10 & 4 & 9 \\ 15 & -4 & -14 \\ -5 & 1 & 6\end{array}\right]$ (C) $\left[\begin{array}{ccc}-2 & \frac{4}{5} & \frac{9}{5} \\ 3 & -\frac{4}{5} & -\frac{14}{5} \\ -1 & \frac{1}{5} & \frac{6}{5}\end{array}\right]$ (D) $\left[\begin{array}{ccc}2 & -\frac{4}{5} & -\frac{9}{5} \\ -3 & \frac{4}{5} & \frac{14}{5} \\ 1 & -\frac{1}{5} & -\frac{6}{5}\end{array}\right]$

$\left[\begin{array}{ccc}-2 & \frac{4}{5} & \frac{9}{5} \\ 3 & -\frac{4}{5} & -\frac{14}{5} \\ -1 & \frac{1}{5} & \frac{6}{5}\end{array}\right]$