Lecture

Orthogonalization of Vectors

Description

This lecture covers the concept of orthogonalization of vectors in a vector space, focusing on the Gram-Schmidt orthogonalization process. It explains how to find an orthogonal basis for a given vector space, the projection of a vector onto a subspace, and the best approximation theorem. The lecture also discusses the calculation of projections using orthogonal bases and orthonormal bases, along with practical examples and proofs.

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