Let D=(2000−10003)D = \begin{pmatrix} 2 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 3 \end{pmatrix}D=2000−10003 be a diagonal matrix. Compute D4D^4D4.
(16000−100081)\begin{pmatrix} 16 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 81 \end{pmatrix}16000−100081
(8000100027)\begin{pmatrix} 8 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 27 \end{pmatrix}8000100027
(16000100081)\begin{pmatrix} 16 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 81 \end{pmatrix}16000100081
(400010009)\begin{pmatrix} 4 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 9 \end{pmatrix}400010009