===== Matrix ===== ==== Set ==== | @#55CCEE: context | @#55CCEE: $X$ ... set | | @#55CCEE: context | @#55CCEE: $n,m\in \mathbb N$ | | @#FFBB00: definiendum | @#FFBB00: $ A\in \mathrm{Matrix}(n,m,X) $ | | @#55EE55: postulate | @#55EE55: $$ A\in\mathrm{FinSequence}(\mathrm{FinSequence}(X)) $$ | | @#DDDDDD: range | @#DDDDDD: $ 1\ge i\ge m$ | | @#55EE55: postulate | @#55EE55: $\mathrm{length}(A)=n$ | | @#55EE55: postulate | @#55EE55: $\mathrm{length}(A_i)=m$ | ----- === Discussion === We write $A_{ij}\equiv (A_i)_j$ === Reference === Wikipedia: [[https://en.wikipedia.org/wiki/Matrix_(mathematics)|Matrix_(mathematics)]] Mathematica: [[https://reference.wolfram.com/language/guide/MatrixOperations.html|MatrixOperations]] Idris: [[https://github.com/idris-lang/Idris-dev/blob/master/libs/contrib/Data/Matrix.idr|contrib/Data/Matrix.idr]] Haskell: [[https://hackage.haskell.org/package/matrix-0.3.5.0/docs/Data-Matrix.html | package/matrix-0.3.5.0/docs/Data-Matrix.html]] ----- === Subset of === [[Finite sequence]]