Basic examples (1)
Softanza
oT = new stzMatrix([ [1,2], [3,4] ]) oT.Transpose() # a transpose lands in the content ? @@(oT.Content()) oP = new stzMatrix([ [1,2], [3,4] ]) oP.MultiplyByMatrix([ [1,0], [0,1] ]) # multiplying by the identity is a no-op, both sides ? @@(oP.Content()) # ...and the determinant follows ? oP.Determinant()
Output
[ [ 1, 3 ], [ 2, 4 ] ] [ [ 1, 2 ], [ 3, 4 ] ] -2
run on 2026-10-02 04:23 inside the library at commit 0e72e2e2c; taken from numeric_matrix_truth_narrated.ring(opens in a new tab)
The extensions of this method
Each extension, and whether it exists for this method; an extension that exists combines with the others (FindSTCS).
Extension
Exists
What it adds · The names
Q
yes
does what the method does, then returns the object, so the call can be chained · MultiplyByMatrixQ
QQ
no
chains on the next, more specific type of object (the Q ladder)
QQQ
no
chains on the most specific type of object (the Q ladder)
QRT
no
returns the result as an object of the requested type
CS
no
takes a case-sensitivity flag
ST
no
takes the position to start from (StartingAt)
IB
no
takes bounds that are included (IncludingBounds)
XT
yes
the extended form: more parameters than the base method · MultiplyByMatrixXT
XTT
no
yet another extension: a further extended form, after XT
Z
no
includes the position in what it returns
ZZ
no
returns positions as sections, [start, end]
W
no
selects by a condition
WF
no
selects by a condition, with the expressive keywords (@NextItem, @PreviousItem...)
D
no
takes a direction, forward or backward (Directional)
F
no
takes a function (the condition or the update is given as a function); the forms document also uses F for the future form, which defers the action
Many
no
works on a collection of items instead of one (the plural form)
Except
no
takes exceptions, what to leave out (the exceptional form)
U
no
returns the result without duplication
Every example is a test file of the library, run inside the library for this page; only those whose output kept every promise their file wrote are shown.

