Matrix: Difference between revisions
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Miraheze>Adám Brudzewsky m (Text replacement  "{{APL programming language}}" to "{{APL features}}") 
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Revision as of 15:20, 20 November 2019
In the APL array model, a matrix (sometimes table) is an array with rank 2. While matrices are named after the objects in linear algebra, which are multiplied using the matrix product, APL matrices do not have to be used in this way: they can store arbitrary data like any other array.
Rank 2 is the smallest rank for which multidimensional array theory offers an advantage over onedimensional lists. Unlike vectors, Transpose on matrices changes the order of data, although there is only one possible transpose so dyadic Transpose is never needed. The ravel order of a matrix has two possible definitions; APLs choose to keep the rows together (row major order) rather than the columns (column major).
APL features [edit]  

Builtins  Primitives (functions, operators) ∙ Quad name 
Array model  Shape ∙ Rank ∙ Depth ∙ Bound ∙ Index (Indexing) ∙ Axis ∙ Ravel ∙ Ravel order ∙ Element ∙ Scalar ∙ Vector ∙ Matrix ∙ Simple scalar ∙ Simple array ∙ Nested array ∙ Cell ∙ Major cell ∙ Subarray ∙ Empty array ∙ Prototype 
Data types  Number (Boolean, Complex number) ∙ Character (String) ∙ Box ∙ Namespace ∙ Function array 
Concepts and paradigms  Conformability (Scalar extension, Leading axis agreement) ∙ Scalar function (Pervasion) ∙ Identity element ∙ Complex floor ∙ Total array ordering ∙ Tacit programming (Function composition, Close composition) ∙ Glyph 
Errors  LIMIT ERROR ∙ RANK ERROR ∙ SYNTAX ERROR ∙ DOMAIN ERROR ∙ LENGTH ERROR ∙ INDEX ERROR ∙ VALUE ERROR 