In Exercises 1-4, to see how the Rayleigh quotient method approximates the dominant eigenvalue more rapidly than the ordinary power method, compute the successive Rayleigh quotients R(xi) for i = 1, ... , k for the matrix A in the given exercise.
1. Exercise 11

2. Exercise 12

3. Exercise 13

4. Exercise 14

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6 10 3 2 3.5 1.5 1.50.5 849 454 948 A=113 Ll