Present the inequality x > 23 ?

Mathematics

1 answer:

Tanzania [10]2 years ago

8 0

Answer:

x > 23 I think

Step-by-step explanation:

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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 − y dz dt = 10x + 6y + 3z

Yakvenalex [24]

Answer:

Step-by-step explanation:

Consider the system:

$\begin {Bmatrix} \dfrac{dx}{dt}=-3x+6y-9z \\ \\ \dfrac{dy}{dt}=7x -y \\ \\ \dfrac{dz}{dt}= 10 x + 6y + 3z\end {Bmatrix}$

The matrix form of the system is:

$\begin {bmatrix} \dfrac{dx}{dt} \\ \\ \dfrac{dy}{dt} \\ \\ \dfrac{dz}{dt}\end {bmatrix} = \left[\begin{array}{ccc}-3&6&-9\\7&-1&0\\10&6&3\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right]$

Which can be written as:

$X' = \left[\begin{array}{ccc}-3&6&-9\\7&-1&0\\10&6&3\end{array}\right] X$

where;

$X' = \begin {bmatrix} \dfrac{dx}{dt} \\ \\ \dfrac{dy}{dt} \\ \\ \dfrac{dz}{dt}\end {bmatrix} \ \ \ \& \ \ \ X = \left[\begin{array}{c}x\\y\\z\end{array}\right]$