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→Basic Concepts: basic notation
:*[[orthogonal matrix]]
:*[[orthogonal matrix]]
:*projections
:*projections
:*Gram-Schmidt Process and QR Factorization
:*Gram-Schmidt Process and [[QR factorization]]
:*orthogonal matrices, orthogonal transformations
:*orthogonal matrices, orthogonal transformations
:*data fitting, especially least squares
:*data fitting, especially least squares
*Linear dynamical systems
*Linear dynamical systems
:*Euler's Formula
:*Euler's Formula
=== Notation ===
*matrices are commonly represented by ''A'' and ''B''
*diagonal matrices are represented by ''D''
*an upper triangular matrix is represented by ''R'', as in QR factorization
*when ''A'' is similar to ''B'', then an [[invertible matrix]] ''S'' is used to represent that ''AS'' = ''SB''
== More advanced topics include ==
== More advanced topics include ==