Homework Statement
An n x n array Hn = (hij) is said to be a jacobi matrix if hij = 0 whenever |i - j| >= 2. Suppose Hn also has the property that for each index i, hii = a, hi, i+1 = b and hi,i-1 = c. For instance, H4 =
a b 0 0
c a b 0
0 c a b
0 0 c a
(i) Show that det Hn = a (det Hn-1) -...