Lecture

Orthogonal Projections in Linear Algebra

Description

This lecture covers the concept of orthogonal projections in linear algebra, focusing on the properties of orthogonal matrices, projection onto subspaces, and the Gram-Schmidt process for orthonormal bases. The instructor explains the justification and application of theorems related to orthogonal projections, including the construction of orthogonal bases, the QR factorization of matrices, and the importance of orthogonal bases in regression analysis.

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