8e06dba9-88d4-46ee-93b1-73e72a0cf690 30 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

This goes in top work sheet as "Utilities"
This module is to be developped wrt to cols
Here we have preselected cols [1,3]. 
At this point, you can select any rows  in
cols [1,3] or as otherwise preselected. 
Next: add/delete/insert/shuffle rows at will.
Mathcad 11 could NOT do that. data row ListCollect ct 1 : i row a ct el data i 1 el : b ct el data i 3 el : ct ct 1 + : 31 line for a b augment 31 line :

M 142567234512375895678945 mat :

row 23413 mat :

M row ListCollect 242795732 mat

The col/row extractors utilities

add/remove/insert/shuffle
in col(,,,) argument ... at will in-situ data v Col ct 1 : i v a 1 ct el data i col : ct ct 1 + : 21 line for a V a 1 el : j 2 a cols range V V a j el augment : for V 61 line :

add/remove/insert/shuffle
in row(,,,) argument ... at will in-situ data v Row ct 1 : i v a 1 ct el data i row : ct ct 1 + : 21 line for a V a 1 el : j 2 a cols range V V a j el stack : for V 61 line :

M 05204580125520458012518020458012518024545801251802453208012518024532040512518024532040550066 mat :

Select from in-situ

col 13513 mat :

row 23413 mat :

M row Row 5204580125180204580125180245458012518024532036 mat

M col Col 020805451252080180451252458018032012524540563 mat

NEW M col Col row Row :

NEW 54512520801804512524533 mat

data u v MatrixBlocUser ct 1 : i v a 1 ct el data i col : ct ct 1 + : 21 line for V a 1 el : j 2 a cols range V V a j el augment : for ct 1 : i u b 1 ct el V i row : ct ct 1 + : 21 line for U b 1 el : j 2 b cols range U U b j el stack : for U transpose 91 line :

M 05204580125520458012518020458012518024545801251802453208012518024532040512518024532040550066 mat :

col 13513 mat :

row 23413 mat :

New M col row MatrixBlocUser :

New 54512520801804512524533 mat

Mathcad 11.2a does it same way except for: 1. Little different coding 2. col & row must be respectively stacked col:=stack(1,3,5) row:=stack(2,3,4) In that form you can => add/remove/insert/shuffle

col 135 stack : row 234 stack : 21 line

New M col row MatrixBlocUser :

New 54512520801804512524533 mat

Select 'j' row in 'V', stack 'n' times V n j stack U V j row : stack n rows c 1 : i 1 n range data c el U : c c 1 + : 21 line for data 41 line Unest the stack v data 1 el : j 2 data rows range v v data j el stack : for v 41 line 31 line :

V 123456789025 mat :

V 51 stack 123451234512345123451234555 mat

Analyse matrix via truth table

W 1.22 7.36 7.96 7.94 1.26 2.36 4.74 3.07 5.83 4.11 3.78 8.14 3.64 9.93 8.95 9.73 5.13 3.71 5.78 3.16 54 mat :

x c x 2 ≥ (x 4 ≤ (* :

Truth(M,a,b) ... truth table within [a, b]
Obsolete since Smath 6179 vectorise operator M a b Truth count 0 : i 1 M rows range j 1 M cols range M i j el a ≥ (M i j el b ≤ (* Z i j el M i j el : 11 line count count 1 + : if for for Z 31 line :

W 24 Truth 00000 2.36 0 3.07 00 3.78 0 3.64 0000 3.71 0 3.16 54 mat

W c W * vectorize 00000 2.36 0 3.07 00 3.78 0 3.64 0000 3.71 0 3.16 54 mat