(Solution) - Equation 10 2 can be written as a system of two -(2025 Original AI-Free Solution)

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Equation (10.2) can be written as a system of two equations:
v11 + rv12 = ?1v11
rv11 + v12 = ?1v12
Where r = r12 = 0.97135 is the correlation between x1 and x2. Find the first eigenvector, v1, by adding the two equations and simplifying to show that ?1 = 1 + r = 1.97135. Then substitute ?1 = 1.97135 into either equation to show that v11 = v12.
Equation (10.2)