Let F be a field and let m,n,p,r,m^('),n^('),p^('),r^('),u,v,w be positive integers. Show the following identities. (a) For all A in F^(m×n), B in F^(n× p), C in F^(u× v), and D in F^(v× w__. What is the completion of the statement?
A) , if u = p and w = m, then A(BCD) = (AB)(CD)
B) , if n = r and u = m, then A(BCD) = (AC)(BD)
C) , if v = p and u = n, then A(BCD) = (AB)(CD)
D) , if m = p and r = v, then A(BCD) = (AB)(CD)