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use the Jordan form, eigenvalue and eigenvectors to solve it. it is not just a x,y,z problem 1. (Matrix Exponential). For each of the following

use the Jordan form, eigenvalue and eigenvectors to solve it. it is not just a x,y,z problemimage text in transcribedimage text in transcribed

1. (Matrix Exponential). For each of the following matrices, (i) com- pute the matrix exponential eAt and hence (ii) solve the linear system * = Ax, with initial condition x(0) Xo. In cach case, (iii) also de- scribe the phase portrait, as well as the equilibrium, using words such as: sink, source, saddle point, spiral sink, spiral source, center, or combinations thereof. [40] J 1 (b) A= -3 0 0 XO = [1, 2, 1)

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