Problem 4. Let A = You are given that (2 – A) ( –- X) is the characteristic 5 10 polynomial of A. Find the eigenspace E2. Without any more calculation, find the eigenspace E1. Sketch the phase...


Problem 4. Let A =<br>You are given that (2 – A) ( –- X) is the characteristic<br>5<br>10<br>polynomial of A.<br>Find the eigenspace E2.<br>Without any more calculation, find the eigenspace E1.<br>Sketch the phase portrait for the discrete dynamical system 7(t + 1) = AF(t).<br>Describe all possible ão for which lim00 7(t) = lim;→∞ A'ão equals 0.<br>Let A = A+ kI2. Consider the discrete dynamical system ī(t+1) = Ak7(t).<br>(b)<br>For which k is 0 an asymptotically stable equilibrium for this system?<br>

Extracted text: Problem 4. Let A = You are given that (2 – A) ( –- X) is the characteristic 5 10 polynomial of A. Find the eigenspace E2. Without any more calculation, find the eigenspace E1. Sketch the phase portrait for the discrete dynamical system 7(t + 1) = AF(t). Describe all possible ão for which lim00 7(t) = lim;→∞ A'ão equals 0. Let A = A+ kI2. Consider the discrete dynamical system ī(t+1) = Ak7(t). (b) For which k is 0 an asymptotically stable equilibrium for this system?

Jun 05, 2022
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