1. If A: U- is a linear operator and there is a linear operator B: ?> & such that ( Au, v) = (u, Bv) for all vectors u E ( and v E , how do we the relationship between B and A and how do we specify that B that is so related to A? 20 0 2. If A = 0 3 0 , what is the matrix A* such that ( Au, v) = (u, Bv) for all three-dimensional vectors u and 0 0 4 v? Recall that ( Au, v) = 2u, v, + 3u, V2 + 4u, V3