Question

Write the linear system in matrix form. assume x = x y z . dx dt = −4x + 2y − 9z dy dt = 8x − y dz dt = 10x + 2y + 4z

Answer 1

$\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}-4&2&-9\\8&-1&0\\10&2&4\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}$