6af86fea-9a30-4531-adeb-32f54464bb15 24 4 5 decimal

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

Rectangular matrix . . . delete col/row/minor

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M 05204580125520458012518020458012518024545801251802453208012518024532040556 mat :

M m Minor N 0 : ct 1 : n 1 M cols range n m ≠ N 1 ct el M n col : ct ct 1 + : 21 line Unest 'N' if for v N 1 el : j 2 N cols range v v N j el augment : for v 61 line :

Delete 'col' M 3 Minor 05458012552080125180204512518024545801802453208012524532040555 mat

Delete 'row' M transpose 2 Minor transpose 0520458012520458012518024545801251802453208012518024532040546 mat

MatrixMinor 'col & row' col row Delete M col Minor transpose row Minor transpose :

32 Delete 054580125204512518024545801802453208012524532040545 mat

Two square matrix operations . . .

1. minor from vminor f(x) menu.

2. cofactor from symbol panel . . . |vminor| Determinant

Disambiguate from below . . .

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data 05204580125520458012518020458012518024545801251802453208012518024532040512518024532040550066 mat :

NO cofactor data 23 minor 0

# # # minor limited 4 x 4 matrix ≡

Minored of row 3, col 3 data 33 vminor 0545801255208012518045801802453208012524532040512518032040550055 mat

V data 14 range 14 range el :

Cofactor  square matrix cof V 13 minor : 3000 -

Cofactor  square matrix cof data 33 minor : 0

U 134791215601733 mat :

1. 'vminor' expands 2. 'Minor' solves

Minor side panel U 13 minor U 22 minor U 33 minor 31 mat 28543 - 12 - 31 mat

'vminor' menu U 13 vminor 79156022 mat

79156022 mat det 285

https://www.mathwords.com/c/cofactor_matrix.htm

Disambiguation . . .

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N 251 - 03412 - 5 - 33 mat :

expansion from
f(x) menu 'vminor' minor N 32 vminor : 21 - 0422 mat

Determinant minor det 8

solution from side panel 'Minor' m N 32 minor : 8

Frame a matrix ...

A B r c replace U A : i 1 B rows range j 1 B cols range U r i + c j + el B i j el : for for U 31 line :

Mat Frame i 1 Mat rows 2 + (range j 1 Mat cols 2 + (range frame i j el : for for you can frame 0 or else frame 31 line :

Frame M Frame : FRAME Frame M 11 replace : 21 line

In separate modules, you can replace part of an image by another one.

M 05204580125520458012518020458012518024545801251802453208012518024532040556 mat :

FRAME 05204580125 5204580125180 204580125180245 4580125180245320 80125180245320405 78 mat

Insert valued matrix: row/col

M 05204580125520458012518020458012518024545801251802453208012518024532040512518024532040550066 mat :

v 0000 00000062 mat :

size/value row/col @ will ...

ROW 00 00000 00026 mat :

M B c InsertCol a M 1 M rows 1 c submatrix : c M 1 M rows c 1 + M cols submatrix : a B c augment 31 line :

M B r InsertRow a M 1 r 1 M cols submatrix : c M r 1 + M rows 1 M cols submatrix : a B c stack 31 line :

M v 3 InsertCol 0520004580125520450080125180204580 12518024545801250018024532080125180002453204051251802450032040550068 mat

M v transpose 4 InsertRow 052045801255204580125180204580125180245458012518024532000 00000 0008012518024532040512518024532040550086 mat

M ROW 2 InsertRow 05204580125520458012518000 00000 00020458012518024545801251802453208012518024532040512518024532040550086 mat

Insert col/row on key condition You can value your insertion...

M 11212 4.5 42321144245 7.2 6454 mat :

col 51 mat :

row 14 mat :

M key FindIndex r M rows : c M cols : 12 mat i 1 : j 1 : 12 mat j c ≤ (M i j el key ≠ (* i r < i i 1 + : i 1 : j j 1 + : 21 line if while j c ≤ i j 21 mat 0 if 41 line :

key 3 :

row
col idx M key FindIndex (: 3121 mat

N M row idx 1 el InsertRow : U M col idx 2 el InsertCol : 21 sys

N 11212 4.5 423211 44245 7.2 6464 mat

U 1 1212 4.5 423 2114 4245 7.2 6455 mat

EXPLAIN "key" insert ... This module allows to insert blank col/row or both. You can post-value your insertion.

Matrix selected/bloc extract

set matrix algo style
collapse in utilities i j Data Data i j el :

Data B 7.0 365.76 17 / 0.84 9.14 31.63 C 9.5 274.32 1 9.5 / 1.0 4.57 13.56 D 11.5 213.36 1 11.5 / 1.07 2.13 3.80 37 mat :

specific row/col extract 34 Data 223 /

Bloc extract

r 13 range :

c 57 range :

r c Data 0.84 9.14 31.63 1 4.57 13.56 1.07 2.13 3.8 33 mat