Systems of First Order Linear Equations

In order to solve a system, of first order linear equations with constant coefficients we have to find eigenvalues and eigenvectors of the matrix . We will use Maple to do this. To access Maple commands we first need to load Linear Algebra commands.

> with(linalg):

Warning, new definition for norm

Warning, new definition for trace

Example 1: Solve the system .

Example 2: Solve the system .

In the case when eigenvalues are complex we have to find real and imaginary parts of the complex-valued solutions which we obtain in the same way as in the real case.

Example 4: Solve the system .

Example 5: Solve the system .