In Exercises 1-3, a matrix A is given along with an iterate xk, produced using the power method, as in Example 4.31. (a) Approximate the dominant eigenvalue and eigenvector by computing the corresponding mk and Yk· (b) Verify that you have approximated an eigenvalue and an eigenvector of A by comparing Ayk with mkyk.
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3 3.667 ,x,-L 11.001 2 -3 5.530 , XI,-11.470 10.000 2 10.000