Let Tn be the tridiagonal matrix whose diagonal entries are all equal to 2 and whose sub-

Question:

Let Tn be the tridiagonal matrix whose diagonal entries are all equal to 2 and whose sub- and superdiagonal entries all equal 1. Use the power method to find the dominant eigenvalue of Tn for n = 10, 20. 50. Do your values agree with those in Exercise 8.2.47? How many iterations do you require to obtain 4 decimal place accuracy?