1(i) Let An be the n x n matrix with (i, 2)-entries 5 (2 = 1 to n), ai,it1 = 2 (i = 1, 2, ..., n - 1), ait1,i = 2 (i = 1, 2, ...,n -1) and all other aij = 0. Show by induction on n that det(An) = =(4n+1 -1). What is d4? Hint: use expansion along row/down column to get an expression for dn in terms of dn-1 and dn-2./ (ii) Calculate the matrix of minors for A4 and hence find Af