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$$A = \begin{bmatrix}4 & 0 & 0 \\0 & 5 & 0 \\0 & 0 & 6 \end{bmatrix} \Rightarrow A^{-1} =$$
$$\begin{bmatrix}-\frac{1}{4} & 0 & 0 \\0 & -\frac{1}{5} & 0 \\0 & 0 & -\frac{1}{6} \end{bmatrix}$$
$$\begin{bmatrix}0 & 0 & \frac{1}{4} \\0 & \frac{1}{5} & 0 \\\frac{1}{6} & 0 & 0 \end{bmatrix}$$
$$\begin{bmatrix}\frac{1}{4} & 0 & 0 \\0 & \frac{1}{5} & 0 \\0 & 0 & \frac{1}{6} \end{bmatrix}$$
$$\begin{bmatrix}-\frac{1}{4} & 0 & 0 \\0 & \frac{1}{5} & 0 \\0 & 0 & -\frac{1}{6} \end{bmatrix}$$
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