Question: Find the second eigenvector by solving the equation Rv2 = 2v2. This can also be written as a system of two equations: v21 + 0.97135v22

Find the second eigenvector by solving the equation Rv2 = λ2v2. This can also be written as a system of two equations:
v21 + 0.97135v22 = λ2v21
0.97135v21 + v22 = λ2v22
The second eigenvector is found by subtracting 0.97135v21 + v22 = λ2v22 from v21 + 0.97135v22 = λ2v21 to solve for λ2 and then showing that v21 = –v22.

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