Question: Let u = (u1, u2) ER2, v = (v1, v2) ER2, 1 1 B = {b1, b2} = 3 (1, 1), 2V6 (1, -2) and

Let u = (u1, u2) ER2, v = (v1, v2) ER2, 1 1 B = {b1, b2} = 3 (1, 1), 2V6 (1, -2) and (u, v) = 4u101 - 2u1v2 - 2u2v1 + 3u202. (a) Write (u, v) in the form [u] A[v]. (b) Show that (u, v) defines an inner product on R?. (c) Determine whether B is an orthonormal basis for R2 with respect to this inner product. (d) Find the orthogonal projection of w = (2, -1) onto bj with respect to this inner product

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