1 Matrix Limits Consider the following n x n matrix, 0 0 0 1/2 0 0 0 0 0 0 1/2 0 0 0 0 0 1/2 0 0 0 0 0 0 1/2 0 1/2 0 0 0 1/2 0 1/2 0 0 0 0 0 1/2 0 0 A= 0 0 0 0 1/2 : 0 0 1/2 0 (1) : 0 0 0 1/2 0 1/2 0 0 0 0 0 1/2 : 0 1/2 0 0 1/2 0 0 0 0 0 0 0 0 1/2 0 0 0 0 which can be written in short-hand as, Am, m+3 = Am+3,m = 1/2, for m <>