Math 240 Problem Set 27 Gram-Schmidt Orthogonalization Objectives: e Use Gram-Schmidt orthogonalization to find an orthogonal set of vectors with the same span as a given (non-orthogonal) set To start the Gram-Schmidt orthogonalization process, we set A = a. a. Find the projection of b onto 4 b. Use part (a) to find a vector, B, orthogonal to A for which span(4, B) is the same as span(a, b) c. Use a similar technique to find a vector, C, for which span(4, B, ) is the same as span(a, b, c) d. Find unit vectors in the same directions as each of A, B, and C The set of vectors in part (d) is the Gram-Schmidt orthogonalization of the original set of vectors