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A linear transformation is a function from one vectorspace to another that respects the linear structure of each vectorspace. For visualizing this we can transform a vector, but it has an obvious problem, because the linear transformation transform the whole space, not just the vector, in other words it transforms the basis vectors thus every vector in the space gets transformed too.
Analyse dynamical systems, plot its phase space and critical points.
Phase Space is born out of the need of a simple yet powerful open source tool to study dynamical systems. PhaseSpace allows you to plot the phase space of the dynamical system you are studying, its critical points and the curves of slope zero and infinite.It can also plot the solutions of the system and it's vector field. To use PhaseSpace you'll need to have Python installed along with Matplotlib and Numpy.