Difference between revisions of "Manuals/calci/SKEWSYMMETRIC"
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*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. | *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>. | *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})</math> then the skew symmetric condition is <math>a_{ij} = | + | *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". | *So its diagonal values are "0". | ||
Revision as of 14:47, 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.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_{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".