Difference between revisions of "Matrix in maths"
Jump to navigation
Jump to search
(Created page with "In order to type matrices in math formulas, there is the command {{cmd|definemathmatrix}}. Once a certain type of matrix is defined, one can also add a simple command in order...") |
(No difference)
|
Revision as of 07:47, 29 November 2020
In order to type matrices in math formulas, there is the command \definemathmatrix. Once a certain type of matrix is defined, one can also add a simple command in order to type matrices in a Matlab or Scilab format.
Here are a few examples
%% defining matrix with parentheses \definemathmatrix[pmatrix] [matrix:parentheses] [simplecommand=pmatrix] %% defining matrix with brackets \definemathmatrix[bmatrix] [matrix:brackets] [simplecommand=bmatrix] %% defining determinant with bars \definemathmatrix[determinant] [matrix:bars] [simplecommand=thedeterminant] \starttext Let $A$ be the matrix \startformula A := \startpmatrix \NC 2 \NC 3 \NR \NC 1 \NC 2 \NR \stoppmatrix. \stopformula Show that \startformula {\rm det}(A) = \startdeterminant \NC 2 \NC 3 \NR \NC 1 \NC 2 \NR \stopdeterminant = 1. \stopformula Compute the matrix $AB$ where $B$ is the matrix \startformula B := \pmatrix{2, -3 ; -1, 2}. \stopformula \stoptext
It is possible to have different delimiters on the left and on the right. For instance:
\definemathmatrix[pvmatrix] [left={\left(\thinspace}, right={\thinspace\right|}] \definemathmatrix[rpmatrix] [left={\left.\thinspace}, right={\thinspace\right)}] \starttext \startformula \startpvmatrix \NC 11 \NC 12 \NC 13 \NR \NC 21 \NC 22 \NC 23 \NR \NC 31 \NC 32 \NC 33 \NR \stoppvmatrix \startrpmatrix \NC 0 \NR \NC 1 \NR \NC 2 \NR \stoprpmatrix \stopformula \stoptext
In ConTeXt LMTX beginning version 2020-11-27, it is possible to create « block » matrices where the blocks are separated by vertical or horizontal lines (respectively \VL and \HL). For instance the above example can be typeset more easily by the following (the output may be incorrect on this wiki: if this is the case copy the code below and typeset it on your machine with ConTeXt LMTX):
\definemathmatrix[mymatrix] [left={\left\lparent\thinspace}, % instead of the left parenthesis, one can use any other fence right={\thinspace\right\rparent}] % instead of the right parenthesis, one can use any other fence \starttext Here is $3 \times 3$ matrix with a column added to it \startformula \startmymatrix \NC 11 \NC 12 \NC 13 \VL 0 \NR \NC 21 \NC 22 \NC 23 \VL 1 \NR \NC 31 \NC 32 \NC 33 \VL 2 \NR \stopmymatrix \stopformula Here is block matrix: \startformula \startmymatrix \NC A \VL B \NR \HL \NC C \VL D \NR \stopmymatrix \stopformula and here is another one \startformula \startmymatrix \NC A \VL[3,green] B \NR % \HL[10,red] \NC C \VL D \NR \stopmymatrix \stopformula \stoptext