10. (a) Evaluate  and 

(b) Show that 

(c) Evaluate 

(d) In the determinants of Parts (a), (b), and (c) of this problem, the element c_ij in the ith row and jth column is a^|i-j|. Establish a compact formula for the value of the n by n determinant with c_ij = a^|i-j|.  (See Section 8.4 for a definition of |x|.)
 
11. Show that 

12. Show that 
 
 

Tuesday, June 23, 1998