Mathematics, 04.12.2020 16:50 amuijakobp78deg
Write the given linear system in matrix form. Assume X = x y z . dx dt = −3x + 6y − 9z dy dt = 7x − y dz dt = 10x + 6y + 3z
Answers: 3
![\begin {bmatrix} \dfrac{dx}{dt} \\ \\ \dfrac{dy}{dt} \\ \\ \dfrac{dz}{dt}\end {bmatrix} = \left[\begin{array}{ccc}-3&6&-9\\7&-1&0\\10&6&3\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right]](/tpl/images/0949/8197/25aed.png)
![X' = \left[\begin{array}{ccc}-3&6&-9\\7&-1&0\\10&6&3\end{array}\right] X](/tpl/images/0949/8197/45a8e.png)
![X' = \begin {bmatrix} \dfrac{dx}{dt} \\ \\ \dfrac{dy}{dt} \\ \\ \dfrac{dz}{dt}\end {bmatrix} \ \ \ \& \ \ \ X = \left[\begin{array}{c}x\\y\\z\end{array}\right]](/tpl/images/0949/8197/dec86.png)
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Write the given linear system in matrix form. Assume X = x y z . dx dt = −3x + 6y − 9z dy dt = 7x −...
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