'.22. (Sec. 7.6) Prove (without the use of Problems 7.19 and 7.20) that if I = I. then the set 'II', ... ,',,-I,p is independent of the set 'ji'p' i,j = l. .... p _. I. [Hillt:

From Section 4.3.2 app' and (u jp ) arc independent of (u'i'pl. Prow thaI app,(aj), and a jj, i=l,oo.,p-l, are independent of ('jj-,,) hy proving that ajj .p are independent of ('ji'P)' See Problem 4.21.]