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Template:Det/doc
The {{det}} mathematical formatting template gives either an HTML+CSS or a LaTeX formatted determinant of a matrix expression.
Usage
- {{det|matrix}}
or
- {{det|matrix|format}}
where the first argument, matrix
, is either
- a matrix variable (as bold roman, e.g.
from codeA {{math|'''A'''|tex = \mathbf{A}|&}}
), or - a [raw] matrix, i.e. without delimiters (e.g parentheses or square brackets) obtained via the {{matrix}} template (with the
raw
option as last argument);
and where the [optional] format
as second argument (or first argument if matrix
is omitted), is from
-
htm
: HTML+CSS [single line] markup (for matrix variable or
matrix),1 × 1 -
HTM
: HTML+CSS [multiline] markup, -
tex
: LaTeX [single line] markup (for matrix variable or
matrix),1 × 1 -
TEX
: LaTeX [multiline] markup.
Examples
The code{{math|{{det}}|&}}
yields the text style HTML+CSS | · | |
The code {{math|{{det|tex}}|$}}
yields the text style LaTeX.
{{math|{{det|'''A'''}}|&}}
yields the text style HTML+CSS | A | |
The code {{math|{{det|\mathbf{A}|tex}}|$}}
yields the text style LaTeX.
The code {{math|{{det}}|&&}}
yields the display style HTML+CSS
| · |
The code {{math|{{det|tex}}|$$}}
yields the display style LaTeX
The code {{math|{{det|'''A'''}}|&&}}
yields the display style HTML+CSS
| A |
The code {{math|{{det|\mathbf{A}|tex}}|$$}}
yields the display style LaTeX
For the following examples, you may prefer using {{matrix|...|det}}
or {{matrix|...|det|tex}}
, instead of {{det|{{matrix|...|raw}}|HTM}}
or {{det|{{matrix|...|raw|tex}}|TEX}}
.
The code
{{indent}}{{math| {{op|det}} '''A'''{{sub|''n'',''n''}} {{=}} <!-- -->{{det| {{matrix| ''a''{{sub|1,1}} && ''a''{{sub|1,2}} && {{...|cdots}} && ''a''{{sub|1,''n''}} \\ ''a''{{sub|2,1}} && ''a''{{sub|2,2}} && {{...|cdots}} && ''a''{{sub|2,''n''}} \\ {{...|vdots}} && {{...|vdots}} && {{...|ddots}} && {{...|vdots}} \\ ''a''{{sub|''n'',1}} && ''a''{{sub|''n'',2}} && {{...|cdots}} && ''a''{{sub|''n'',''n''}} |raw}} |HTM}} |&&}}
yields the display style HTML+CSS matrix determinant
det An,n =
|
while the code
{{indent}}{{math| {{op|det|tex}} \mathbf{A}{{sub|''n'',''n''|tex}} {{=}} <!-- -->{{det| {{matrix| ''a''{{sub|1,1|tex}} && ''a''{{sub|1,2|tex}} && {{...|cdots|tex}} && ''a''{{sub|1,''n''|tex}} \\ ''a''{{sub|2,1|tex}} && ''a''{{sub|2,2|tex}} && {{...|cdots|tex}} && ''a''{{sub|2,''n''|tex}} \\ {{...|vdots|tex}} && {{...|vdots|tex}} && {{...|ddots|tex}} && {{...|vdots|tex}} \\ ''a''{{sub|''n'',1|tex}} && ''a''{{sub|''n'',2|tex}} && {{...|cdots|tex}} && ''a''{{sub|''n'',''n''|tex}} |raw|tex}} |TEX}} |$$}}
yields the display style LaTeX matrix determinant
See also
- {{matrix}}