(postponed from March 2 because of school closure)

**2.2.X** (Inverse of product.) (Brought forward from HW#3.)
Your random matrix should of course be different from mine, and that of all other students.

a. Construct 2 largish (at least 5x5) random square matrices, A and B, with integer values. Form the product AB.

b. Use the algorithm I showed you in class on Feb 20 to find the inverses of A, B and AB.

c.
Show that, at least in this case, the inverse of AB is the product of the inverses
of A and B *in reverse order*.

**2.8.2** (Draw two vectors in H and their sum not in H.)

**2.8.6** (Is vector in subspace generated by 3 vectors in *R*^{4}?)

**2.8.12** (Where Nul A and Col A "live".)

**2.8.22** (True or False statements about column spaces and null spaces.)

**2.8.28** (Example of vector not in Col A.)

**2.8.29** (Example of vector in Nul A.)

**2.9.10** (Bases for Col A and Nul A.)

**2.9.18** (True or False statements.)