Differences between revisions 5 and 54 (spanning 49 versions)
Revision 5 as of 2021-09-14 15:49:56
Size: 497
Comment:
Revision 54 as of 2026-02-16 16:44:56
Size: 2116
Comment: Link
Deletions are marked like this. Additions are marked like this.
Line 3: Line 3:
<<TableOfContents>>

----



== Matrix Math ==

 * [[LinearAlgebra/MatrixMultiplication|Matrix Multiplication]]
 * [[LinearAlgebra/SpecialMatrices|Special Matrices]]

A branch of [[CategoryMathematics|mathematics]].
Line 18: Line 7:
 * [[LinearAlgebra/2Equations2Unknowns|2 equations, 2 unknowns]]
 * [[LinearAlgebra/3Equations3Unknowns|3 equations, 3 unknowns]]
 * [[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 ==
Line 21: Line 32:
 * [[LinearAlgebra/EliminationMatrices|Elimination Matrices]]  * [[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]]
Line 26: Line 60:
CategoryRicottone CategoryRicottone CategoryMathematics

LinearAlgebra (last edited 2026-02-16 16:44:56 by DominicRicottone)