Jacobian Matrix for Linear Functions

[andrey21]

1. Find the jacobian matrix of the following two equations
x'=-16x+3y
y' = 18x-19y

Homework Equations

Here is my attempt

I know how a jacobian matrix is derived so is this correct?

-16 3
18 -19

The above is meant to be a matrix.

 

[eok20]

That is correct. Notice that the original function is linear and that the Jacobian matrix is the same as the matrix that represents the original linear function.