Initial commit of some initial documentation

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2024-01-08 16:13:21 -07:00
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\section{Bilinear and Quadratic Forms}
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\chapter{Inner Product Spaces}
\subimport{./}{inner-products-and-norms.tex}
\subimport{./}{the-gram-schmidt-orthogonalization-process-and-orthogonal-complements.tex}
\subimport{./}{the-adjoint-of-a-linear-operator.tex}
\subimport{./}{normal-and-self-adjoint-operators.tex}
\subimport{./}{unitary-and-orthogonal-operators-and-their-matrices.tex}
\subimport{./}{orthogonal-projections-and-the-spectral-theorem.tex}
\subimport{./}{the-singular-value-decomposition-and-the-pseudoinverse.tex}
\subimport{./}{bilinear-and-quadratic-forms.tex}
\subimport{./}{einsteins-special-theory-of-relativity.tex}
\subimport{./}{conditioning-and-the-rayleigh-quotient.tex}
\subimport{./}{the-geometry-of-orthogonal-operators.tex}
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\section{Conditioning and the Rayleigh Quotient}
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\section{Einstein's Special Theory of Relativity}
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\section{Inner Products and Norms}
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\section{Normal and Self-Adjoing Operators}
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\section{Orthogonal Projections and the Spectral Theorem}
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\section{The Adjoint of a Linear Operator}
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\section{The Geometry of Orthogonal Operators}
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\section{The Gram-Schmidt Orthogonalization Process and Orthogonal Complements}
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\section{The Singular Value Decomposition and the Pseudoinverse}
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\section{Unitary and Orthogonal Operators and Their Matrices}