Determine whether the origin is an attractor, repellor, or a saddle point of the dynamical system xk+1 = Axk, where A is given below. Determine the direction of greatest attraction or repulsion, appropriately.A = 
A. Attractor; direction of greatest attraction: along the line through 0 and 
B. Repellor; direction of greatest repulsion: along the line through 0 and 
C. Attractor; direction of greatest attraction: along the line through 0 and 
D. Saddle point; direction of greatest attraction: along the line through 0 and 
, direction of greatest repulsion: along the line through 0 and 
Answer: A
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