please help me with these

Problem set 5 Buan 6340 Linear algebra 1. Real business cycles: Consider the macroeconomic model for real business cycles taken from Dejong and Dave (2011) Chapter 3. In your last problem set you derived the nonlinear system: 1 - 0 ct = (1- 0)4 Ct 8 ) = u(Ct-1, 4-1) Ct- 1 yt = zkan)-a 1 = nt + It yt = Ct + it ke = it-1+ (1 -8)kt-1 u(c, I) = (coll-$)1-4 1 - In zt = (1 - p) In z + pln z-1 + et Your job is to log-linearize the above system around the steady state using first-order taylor series approxima- tions to find a model in the form: Art = Bit-1 + Cet Programming 2. Hierarchical clustering Implement a hierarchical clustering procedure from scratch (without using sklearn or a similar package) in python