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.