Difference between revisions of "Manuals/calci/SKEWSYMMETRIC"
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| − | skew | + | <div style="font-size:30px">'''SKEWSYMMETRIC(Order)'''</div><br/> |
| + | *<math>Order</math> 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 <math>A=A^T</math>,where <math>A^(T)</math> is the matrix transpose. | ||
| + | *If the entry in the <math>i^{th}</math> row and <math>j^{th}</math> column is <math>a_{ij}</math>. | ||
| + | *i.e. <math>A = (a_{ij}) then the skew symmetric condition is <math>a_{ij} = −a_{ji}. | ||
| + | *So its diagonal values are "0". | ||
Revision as of 14:44, 20 December 2016
SKEWSYMMETRIC(Order)
- 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 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 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=A^T} ,where 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^(T)} is the matrix transpose.
- If the entry in the 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 i^{th}} row and 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 j^{th}} column 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}} .
- i.e. <math>A = (a_{ij}) then the skew symmetric condition is <math>a_{ij} = −a_{ji}.
- So its diagonal values are "0".