What is the fixed point of the system and does the, Mechanical Engineering

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What is the fixed point of the system and does the

(i) Establish the trajectory of the following discrete system

x(t + 1)=- 2 + 0.25x(t)+ 0.4y(t)

y(t + 1)= 10 - 2x(t)+ 0.5y(t)

(x(0),y(0))=(2.5,15)

(ii) What is the fixed point of the system and does the trajectory converge on this value?

(iii) Plot x(t) and y(t) for t =0 to 20. What do you observe?

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