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Lecture "Linear algebra - Chapter 5: The Orthogonality and Least Squares" provides learners with the knowledge: The Scalar Product in R, orthogonal subspaces, orthonormal set, the gram schmidt orthogonalization process, inner product spaces, least square problem. Invite you to refer to the disclosures. | Math Dept Faculty of Applied Science HCM University of Technology Math 415 Linear Algebra Chapter 5 The Orthogonality and Least Squares Instructor Dr. Dang Van Vinh 6 2006 CONTENTS 3.1 - The Scalar Product in Rn 3.2 - Orthogonal Subspaces 3.3 - Orthonormal set 3.4 - The Gram - Schmidt Orthogonalization Process 3.5 - Inner Product Spaces 3.6 - Least Square Problem 3.1 The Scalar Product in Rn Definition of Inner Product in Rn Let u and v are vectors in Rn. The inner product of u and v is u v u1 u2 un v2 u1v1 u2v2 - unvn vn
