Question: 7.5.33 . Let k be real, n an integer 2 2, and let A = (aij) be the n x n matrix such that all

7.5.33 . Let k be real, n an integer 2 2, and let A = (aij) be the n x n matrix such that all the diagonal entries ani = k, all entries ai,it1 immediately above or below the diagonal equal 1, and all other entires equal 0. For example, if n = 5, k 1 0 0 0 1 k10 A = 0 0 1 k - 0 0 0 1 k Let Amin and Amax denote the smallest and largest eigenvalues of A, respectively. Show that Amin

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