Let Mn be the n n tridiagonal matrix with all l's on the sub- and super-diagonals,

Question:

Let Mn be the n × n tridiagonal matrix with all l's on the sub- and super-diagonals, and zeros on the main diagonal.
(a) What is the spectral radius of Mn? Use Exercise 8.2.47.
(b) Is Mn convergent?
(c) Find the general solution to the iterative system u(k+1) = Mnu(k).