linear algebra question needs help, thx!

1.6 6. (TSEB Exercise 22.4) 1.6.1 6.(a) [5%] Suppose PA = LU (LU factorization with partial pivoting) and A = QR (QR factorization). Describe a relationship between the last row of L'1 and the last column of Q, and prove Why this relationship is so. YOUR ANSWER HERE 1.6.2 6.(b) [5%] Show that if A is random in the sense of having independent, normally distributed entries, then its column spaces are randomly oriented, so that in particular, the last column of Q is a random unit vector. YOUR ANSWER HERE 1.6.3 6.0:) [5%] Combine the results of (a) and (b) to make a statement about the nal row of L'1 in Gaussian elimination applied to a random matrix A. YOUR ANSWER HERE