Manuals/calci/ANTISYMMETRIC

MATRIX("ANTISYMMETRIC",order)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle order } is the order of the Anti diagonal matrix.

Description

This function gives the matrix of order 3 which is satisfying the anti symmetric properties.
An antisymmetric matrix is a square matrix that satisfies the identity A=-A^(T) ,where A^(T) is the matrix transpose.
For example, A= Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{bmatrix} 0 & -1 \\ 1 & 0 \\ \end{bmatrix}}
So the form of anti symmetric is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{bmatrix} 0 & a12 & a13 \\ -a12 & 0 & a23 \\ -a13 & -a23 & 0 \\ \end{bmatrix}}
Antisymmetric matrices are commonly called "skew symmetric matrices" or "antimetric".
So in CALCI,users can give the syntax as:
1.MATRIX("anti-symmetric")
2.MATRIX("antisymmetric")
2.MATRIX("skewsymmetric")
3.MATRIX("skew-symmetric")
Here this is case-insensitive.

0	-78
78	0