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| <<TableOfContents>> | A branch of [[CategoryMathematics|mathematics]]. |
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| ---- | == Foundations == |
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| * [[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]] |
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| == Linear Transformations == | |
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| * [[LinearAlgebra/2Equations2Unknowns|2 equations, 2 unknowns]] * [[LinearAlgebra/3Equations2Unknowns|3 equations, 3 unknowns]] |
* [[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 | CategoryRicottone CategoryMathematics |
Linear Algebra
A branch of mathematics.
Foundations
Linear Transformations
Elimination
Decompositions and Factorizations
Applications