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

Examples

1. 1.

SKEWSYMMETRIC(4)

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

1. 2.

SKEWSYMMETRIC(9)

0	48	-36	72	25	51	-13	-98	70
(-48)	0	-97	-33	78	-30	-56	62	45
36	97	0	42	-47	58	94	24	-43
(-72)	33	-42	0	-23	-77	-80	69	70
(-25)	-78	47	23	0	-17	17	-100	34
(-51)	30	-58	77	17	0	-43	-67	0
13	56	-94	80	-17	43	0	-24	55
98	-62	-24	-69	100	67	24	0	76
(-70)	-45	43	-70	-34	0	-55	-76	0

0 48 -36 72 25 51 -13 -98 70 -48 0 -97 -33 78 -30 -56 62 45 36 97 0 42 -47 58 94 24 -43 -72 33 -42 0 -23 -77 -80 69 70 -25 -78 47 23 0 -17 17 -100 34 -51 30 -58 77 17 0 -43 -67 0 13 56 -94 80 -17 43 0 -24 55 98 -62 -24 -69 100 67 24 0 76 -70 -45 43 -70 -34 0 -55 -76 0