Manuals/calci/ANTISYMMETRIC

MATRIX("ANTISYMMETRIC",order)

• $order$ 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= ${\begin{bmatrix}0&-1\\1&0\\\end{bmatrix}}$
• So the form of anti symmetric is ${\begin{bmatrix}0&a12&a13\\-a12&0&a23\\-a13&-a23&0\\\end{bmatrix}}$
• 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.