Ok i have compute, that the integral curves of a diagonal matrix have a special form.
But are these integral curves the same for any matrix, which can be diagonalized?
please, i need help!
Hello,
i want to describe the flow of any linear vector field X in \mathbb{R}^2 with X=X^t.
Therefore our Matrix and vector field X has the form:
X=(a,b)
(b,c)
how can i describe all flows? X is diagonalizable. Does it make a difference if i assume that X is in diagonal form?