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A branch of [[CategoryMathematics|mathematics]].
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== Linear Systems ==
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== Matrix Properties and Arithmetic ==

 * [[LinearAlgebra/MatrixMultiplication|Matrix Multiplication]]
 * [[LinearAlgebra/MatrixTransposition|Matrix Transposition]]
 * [[LinearAlgebra/MatrixInversion|Matrix Inversion]]
 * [[LinearAlgebra/SpecialMatrices|Special Matrices]]
 * [[LinearAlgebra/PermutationMatrices|Permutation Matrices]]

 * [[LinearAlgebra/2Equations2Unknowns|2 equations, 2 unknowns]]
 * [[LinearAlgebra/3Equations3Unknowns|3 equations, 3 unknowns]]
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 * [[LinearAlgebra/2Equations2Unknowns|2 equations, 2 unknowns]]
 * [[LinearAlgebra/3Equations3Unknowns|3 equations, 3 unknowns]]
 * [[LinearAlgebra/Basis|Basis]]
 * [[LinearAlgebra/Determinant|Determinant]]
 * [[LinearAlgebra/EigenvaluesAndEigenvectors|Eigenvalues and Eigenvectors]]
 * [[LinearAlgebra/Idempotency|Idempotency]]
 * [[LinearAlgebra/Invertibility|Invertibility]]
 * [[LinearAlgebra/Linearity|Linearity]]
 * [[LinearAlgebra/MatrixMultiplication|Matrix multiplication]]
 * [[LinearAlgebra/NullSpace|Null Space]]
 * [[LinearAlgebra/Orthogonality|Orthogonality]]
 * [[LinearAlgebra/PositiveDefiniteness|Positive definiteness]]
 * [[LinearAlgebra/Rank|Rank]]
 * [[LinearAlgebra/RotationMatrix|Rotation matrix]]
 * [[LinearAlgebra/SpecialMatrices|Special matrices]]
 * [[LinearAlgebra/Trace|Trace]]
 * [[LinearAlgebra/Transposition|Transposition]]

== Elimination ==
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 * [[LinearAlgebra/GeneralSolution|General Solution]]

== Decompositions and Factorizations ==

 * [[LinearAlgebra/Diagonalization|Diagonalization]]
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 * [[LinearAlgebra/NullSpaces|Null Spaces]]
 * [[LinearAlgebra/Rank|Rank]]
 * [[LinearAlgebra/Solution|Solution]]
 * [[LinearAlgebra/Orthonormalization|Orthonormalization]]

== Applications ==

 * [[LinearAlgebra/MarkovMatrices|Markov Matrices]]
 * [[LinearAlgebra/Projection|Projection]]
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CategoryRicottone CategoryRicottone CategoryMathematics

LinearAlgebra (last edited 2025-10-16 13:30:30 by DominicRicottone)