Let U = {v, v2} where v1 = (1, 1, -2) and v2 = (2, 0, 3) as vectors of R3, Answer the following questions including details of derivations when is appropriate Using the Set Theory notation, write the span U and determine whether v3 = (1, 2, -1) span U, Compute w= projw v3, if W = span U, (make the proper derivation) Indicate what W is geometricaly, and find its equation. Compute W1 and describe it geometrically. Using the Gram-Schmidt process, find an orthonormal set from T = {v1,v2,v3}, Show details of derivation. If S is the orthonormal set found in 5, find the transition matrix from S to T.
