Functions and operators\det

\detCommand

Used for the determinant of a matrix

\det
Available in
base, physics
Kind
prefix
Allowed mode
math
Frequency
0.48% of corpus formulasrank 66 of 263
Commonality
high
Renderer support
PackageMathJaxKaTeXXeTeX
baseMathJax: FullKaTeX: FullXeTeX: Full
physicsMathJax: FullKaTeX: FullXeTeX: Full
About the test scope

Syntax#

\det

Takes no arguments. In base. Reading argspecs

\detd<(,)><[,]><{,}>(a)optional math content

Argspec d<(,)><[,]><{,}> — one optional argument. In physics. Reading argspecs

Common tasks#

How to write a determinant operator#

\det A

How to write a determinant with limits#

\det_{1\le i,j\le n}(a_{ij})

How to write the determinant of a Jacobian#

\det\frac{\partial(x,y)}{\partial(u,v)}

Examples#

\det(A)

base

\det_{1 \le i \le n}

physics

\det A

Package variants#

PackageSignatureAllowed modeNotes
basemathUsed for the determinant of a matrix
physicsd<(,)><[,]><{,}>mathUsed for determinant notation, often as \det A or \det(A) in linear-algebra expressions.

In TeXForm#

TeXForm parses this entry as prefix syntax; the package determines its argument specification.

Equivalent forms#

  • \operatorname*{det}exact

    Using amsmath

See also#

Test cases#

base
InputCaseMathJaxKaTeXXeTeX
\detPositive · baselinePassPassPass
physics
InputCaseMathJaxKaTeXXeTeX
\detPositive · baselinePassPassPass
\det (a)Positive · vary:d[0]PassPassPass
All 74 in Functions and operators