dt 3.3 - For each of the linear dynamical systems AX, with matrix A given below, find the differential equations describing the systems and describe the trajectories, stability, and type of their expected phase portraits and critical points. Sketch their phase portraits. It is crucial that you justify your answers: just drawing a phase portrait without justifying its features attracts no marks. (a) A= :) (c) A= Below you can find relevant output from Mathematica to use in your solution. 9 4 -9 -3 A = {{9,4}, {-9, -3}} Eigensystem[A] {{3, 3}, {{-2,3}, {0,0}}} 1 = { (b) A= -2 1 02 A = {{-2, 1}, {0,2}} Eigensystem[A] {{-2, 2}, {{1,0}, {1,4}}} -12 4 -26 -8 A = {{-12,4}, {-26, -8}} Eigensystem[A] {{-10+10 i, -10-10 i }, {{1-5i, 13}, {1+5i, 13}}}

Solved: dt 3.3 - For each of the linear dynamical systems AX, with matrix A gi

Home
questions and answers
dt 3 3 for each of the linear dynamical systems ax with matrix a given

Question

dt 3.3 - For each of the linear dynamical systems AX, with matrix A given below, find the differential equations describing the systems and describe the trajectories, stability, and type of their expected phase portraits and critical points. Sketch their phase portraits. It is crucial that you justify your answers: jus