Let U = {v, v2} J where v1 = (1, 1, -2) and v2 = (2, 0, 3) os vectors of R3 Anther 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) U. Compute w = projw v3. if W = span U. (make the proper derivation) Indicate what W is geometrically, and find its equation Compute W1 and describe it geometrically. Using the Gram-Schmidt process , find an orthonormal set from T = {v1, v2, v3}, If S is the orthonormal set found in 5, find the transition matrix from S to T.
