Manuals/calci/SKEWSYMMETRIC

SKEWSYMMETRIC(Order)

• $Order$ is the order of the skew symmetric matrix.

Description

• This function shows the Skew Symmetric matrix with the given order.
• Skew Symmetric is also called Anti Symmetric or Antimetric.
• A Skew Symmetric is a square matrix which satisfies the following identity $A=A^{T}$,where $A^{T}$ is the matrix transpose.
• If the entry in the $i^{th}$ row and $j^{th}$ column is $a_{ij}$.
• i.e.$A=(a_{ij})$ then the skew symmetric condition 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 (a_{ij}) = −(a_{ij})} .
• So its diagonal values are "0".

Examples

1. SKEWSYMMETRIC(4)

0	-39	2	25
39	0	15	72
(-2)	-15	0	43
(-25)	-72	-43	0