In Exercises 1 and 2, use the power method to approximate the dominant eigenvalue and eigenvector of

Question:

In Exercises 1 and 2, use the power method to approximate the dominant eigenvalue and eigenvector of A to two-decimal-place accuracy. Choose any initial vector you like (but keep the first Remark after Example 4.31 in mind!) and apply the method until the digit in the second decimal place of the iterates stops changing.
1.