Revision #595 → #1395 · back to history
added2×3 matrix examplef194fd16019c
addedSquare matrix (lead)a16c309ee753
addedInvertibility and determinant0ee8254f9279
addedMatrix (formal)b1898e6579d6
addedReal and complex matrixc3cb62f0d311
addedRows and columns38871bb2f26f
addedSize of a matrixa6de1942e258
addedm × n matrix036cf8fe82bf
addedRow and column vectors5d184a6deba0
addedSquare matrix5d29907d84ee
addedInfinite matrix0a51cecb02d5
addedEmpty matrixe63517352e14
addedMatrix addition and subtractiond380f4327656
addedCommutativity of matrix addition642ec7e4865d
addedScalar multiplicationf0ebcb652f05
addedTranspose9cbc6dc2c56b
addedTranspose propertiese91ad0076b40
addedMatrix multiplication2a51ee03de50
addedAssociativity and distributivity of matrix multiplication9006505832d9
addedNon-commutativity of matrix multiplicationb60c2569994a
addedRow operationsb85a2227d8dd
addedSubmatrixe0c353ef7fe1
addedPrincipal submatrixf4a7fd82659d
addedMatrix equation for linear systems02586494e340
addedSolution via inverse matrix8fe88448251a
addedLinear transformation from matrixe49aa91140be
added2×2 matrix as parallelogram transform8bba182ae8ed
addedMatrix multiplication as composition849ce0a05335
addedRank of a matrixec94475a778a
addedRank–nullity theorem193f4d7b2479
addedSquare matrix and main diagonal172ffd5985c2
addedSquare matrices form noncommutative ring151de3550ee5
addedTriangular and diagonal matricesf004ab528ddc
addedIdentity matrix99cdec511e42
addedScalar matrixe19839c4bd62
addedSymmetric and skew-symmetric matricesc3db72c83a16
addedHermitian matrixd1edae74be97
addedSpectral theorema181f9085b9f
addedInvertible matrixe5657cf57756
addedUniqueness of inverse05cbf5e15269
addedPositive-definite and indefinite matrices449d06e6ec56
addedPositive-definite iff eigenvalues positivedcdb57d908af
addedBilinear form associated to matrix9ff2c8d10889
addedOrthogonal matrix5662ef824bda
addedOrthogonal matrix properties9903a005b417
addedSpecial orthogonal matrixb9f942c0e016
addedTrace of a matrixa6412475bf40
addedTrace of product independent of order27667fec90ae
addedTrace equals trace of transpose70c0ba68f369
addedDeterminant45296e23b194
addedInvertibility iff nonzero determinant78ddf4d16ba9
addedDeterminant of 2×2 matrixd6095dd925ec
addedMultiplicativity of determinant54ea5be02b8b
addedLaplace expansion71f3054f1f9a
addedCramer's ruleff8ff5395d88
addedEigenvalue and eigenvector6bbe2ef36fba
addedCharacteristic polynomial33dd341a2ac9
addedCayley–Hamilton theorem92a98da8a136
addedStrassen algorithm complexityfdb766c2ed50
addedSparse matrix8a5401d592a4
addedLU decomposition455c86eb4c38
addedSingular value decomposition8b03425ff04d
addedEigendecomposition / diagonalization4794f8f80ac4
addedJordan decompositionb73fbd8648b2
addedMatrix ring334d8d045c04
addedInvertibility over commutative ring336221f79ecc
addedSupermatricesf48cfda26076
addedBlock matrices6144e6679a29
addedLinear maps as matrices via bases0079e9700ddb
addedEquivalence of categories67224b209f43
addedMatrix groupe559cb27cf01
addedGeneral linear group1000765b3492
addedSpecial linear groupe039a2493c19
addedOrthogonal groupe1dc27c9630e
addedSpecial orthogonal group98a770ede9ea
addedEvery finite group is a matrix groupf92403960228
addedInfinite matrices4c782a1d7fc9
addedFinitary matricescc3e34102ba1
addedEmpty matrix (formal)ee736fb029ac
addedEmpty matrix product9766e0af1e3f
addedDeterminant of 0×0 matrixf279e26b71e0
addedSemiringc7df5dff30fa
addedMatrices over semiring form commutative monoid7d85eb834e62
addedSquare matrices over semiring form a semiring5dc39acdda19
addedPositive and negative determinants in a semiring7aec9ed398d2
addedBicategory of matrices4143aba9da78
addedStochastic matrixac352da5d1ff
addedRandom matricesddd97db70601
addedAdjacency matrix706df048cf27
addedLogical matrix94f2a333fc6a
addedDistance matrix07dc4b287108
addedHessian matrix774808437fae
addedLocal minimum via positive-definite Hessian1146b410b6dc
addedJacobi matrix45d8995ab073
addedImplicit function theorem application7fa76fd65455