X z a b c y x z a b c y If y and z are adjacent, then both of them must have two neighbors among a,b,c to have degree equal to 3 By Pigeonhole principle, y and z must have a common neighbour By symmetry, we may assume that b is their common neighbour At this point, x and b have degree 3, vertices y,z have degree 2 and a and c have degree, respectively, and set Y 2 = W 1, Y 3 = αY 2 W 2, and Y 1 = βY 2 γY 3 W 3 Determine the variancecovariance matrix of Y 1, Y 2, and Y 3 (c) Determine the values of α, β, σ2 1, σ22, and σ2 3 in order that the variancecovariance matrices in (a) and (b) coincide Third Practice Second Midterm Exam 23Y t ∈ R p is the observed output • wt ∈ R n is called process noise or state noise • vt ∈ R p is called measurement noise w x y v z−1 A C The Kalman filter 8–8 Semilog Plot X Axis Has Log Scale Matlab Semilogx 40 'ã wAX^C "Y