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Orthogonality

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Overview

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This course develops orthogonality in inner product spaces, covering projections, the Gram–Schmidt process, Cauchy–Schwarz, least squares, QR decomposition, linear regression, Legendre polynomials, and Fourier series.

Syllabus

Orthogonal sets.
Orthogonal Projections.
Cauchy Schwarz Proof.
Quick Cauchy Schwarz Proof.
Gram Schmidt Process.
Least Squares.
QR decomposition.
Linear regression.
Inner Product Spaces.
Legendre polynomials.
Fourier series.
Fourier cosine and sine series.

Taught by

Dr Peyam

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