= Linear Algebra =

A branch of [[CategoryMathematics|mathematics]].

== Foundations ==

 * [[LinearAlgebra/Determinant|Determinant]]
 * [[LinearAlgebra/HermitianTranspose|Hermitian transpose]]
 * [[LinearAlgebra/Invertibility|Invertibility]]
 * [[LinearAlgebra/MatrixConjugation|Matrix conjugation]]
 * [[LinearAlgebra/MatrixMultiplication|Matrix multiplication]]
 * [[LinearAlgebra/Orthogonality|Orthogonality]]
 * [[LinearAlgebra/PositiveDefiniteness|Positive definiteness]]
 * [[LinearAlgebra/Rank|Rank]]
 * [[LinearAlgebra/SpecialMatrices|Special matrices]]
 * [[LinearAlgebra/Trace|Trace]]
 * [[LinearAlgebra/Transposition|Transposition]]

== Linear Transformations ==

 * [[LinearAlgebra/Basis|Basis]]
 * [[LinearAlgebra/EigenvaluesAndEigenvectors|Eigenvalues and Eigenvectors]]
 * [[LinearAlgebra/Idempotency|Idempotency]]
 * [[LinearAlgebra/LinearMapping|Linear mapping]]
 * [[LinearAlgebra/Linearity|Linearity]]
 * [[LinearAlgebra/RotationMatrix|Rotation matrix]]
 * [[LinearAlgebra/SingularValues|Singular values]]

== Elimination ==

 * [[LinearAlgebra/Elimination|Elimination]]
 * [[LinearAlgebra/GeneralSolution|General solution]]
 * [[LinearAlgebra/NullSpace|Null Space]]
 * [[LinearAlgebra/ParticularSolution|Particular solution]]
 * [[LinearAlgebra/TrivialSolution|Trivial solution]]

== Decompositions and Factorizations ==

 * [[LinearAlgebra/Diagonalization|Diagonalization]]
 * [[LinearAlgebra/LUDecomposition|LU Decomposition]]
 * [[LinearAlgebra/Orthonormalization|Orthonormalization]]
 * [[LinearAlgebra/SingularValueDecomposition|Singular value decomposition]]

== Applications ==

 * [[LinearAlgebra/SystemsOfDifferentialEquations|Systems of differential equations]]
 * [[LinearAlgebra/LowRankApproximation|Low rank approximation]]
 * [[LinearAlgebra/MarkovMatrices|Markov matrices]]
 * [[LinearAlgebra/Projection|Projection]]
 * [[LinearAlgebra/Pseudoinverse|Pseudoinverse]]

== Inner Product Spaces ==

 * [[LinearAlgebra/InnerProduct|Inner product]]
 * [[LinearAlgebra/Norm|Norm]]



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CategoryRicottone CategoryMathematics