Final answer:
To find the coefficient matrix A and the source vector for the system of differential equations, we need to rewrite the system of equations in matrix form. The coefficient matrix A is given by A = [a b; c d] and the source vector [x' y'] is given by [y' z']^T.
Step-by-step explanation:
To find the coefficient matrix A and the source vector for the system of differential equations, we need to rewrite the system of equations in matrix form. Let's say we have the system of equations as follows:
y' = ax + by
z' = cx + dy
Now, we can rewrite this system of equations as a matrix equation:
A * [x' y']^T = [y' z']^T
where A is the coefficient matrix and [x' y'] is the source vector. The coefficient matrix A is given by:
A = [a b; c d]
Similarly, the source vector [x' y'] is given by:
[x' y']^T = [y' z']^T