Consider the vector space R

Consider the vector space R endowed with the inner product     h(u1, u2, u3, u4),(v1, v2, v3, v4)i = u1v1 + 3u2v2 + u3v3 + 2u4v4. Let U = span u1= (−2, 1, 0, 1), u2= (0, 1, 2, 3) be a subspace of R 4 . (a) Use Gram-Schmidt procedure to construct an orthonormal basis for U. (b) Find the orthogonal projection of v = (−1, 2, 5, 1) on U and U ⊥ https://www.studyhelpus.com/Questions & Answers/consider-the-vector-space-r/