# Manuals/calci/ANTISYMMETRIC

MATRIX("ANTISYMMETRIC",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=
• So the form of anti symmetric is
• 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.

## Examples

• MATRIX("antisymmetric",3)
 0 50 -87 -50 0 12 87 -12 0
• MATRIX("anti-symmetric",4)
 0 31 -41 -44 -31 0 67 -88 41 -67 0 100 44 88 -100 0
• MATRIX("skewsymmetric",2)
 0 -78 78 0
• MATRIX("skew-symmetric",5)
 0 34 -3 79 -7 -34 0 94 81 93 3 -94 0 81 -58 -79 -81 -81 0 -83 7 -93 58 83 0

## Related Videos

Symmetric Matrices