Difference between revisions of "Manuals/calci/SKEWSYMMETRIC"

Revision as of 15:02, 20 December 2016

SKEWSYMMETRIC(Order)

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 (syntax error): {\displaystyle (a_{ij}) = −(a_{ij})} .
So its diagonal values are "0".

0	-39	2	25
39	0	15	72

@@ Line 9: / Line 9: @@
 *i.e.<math>A = (a_{ij})</math> then the skew symmetric condition is <math>(a_{ij}) = −(a_{ij})</math>.
 *So its diagonal values are "0".
+==Examples==
+#SKEWSYMMETRIC(4)
+{| class="wikitable"
+|-
+| 0 || -39|| 2 || 25
+|-
+|39 || 0 || 15 || 72
+|-
+|-2 || -15 || 0 ||43
+|-
+|-25 || -72 || -43 || 0
+|}