Difference between revisions of "Manuals/calci/PERSYMMETRIC"

Revision as of 07:58, 26 July 2015

MATRIX("PERSYMMETRIC",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 size of the Persymmetric matrix.

This function returns the persymmetric matrix of order 3.
A symmetric matrix is a matrix whose values are symmetric in the northwest-to-southeast diagonal.
If a symmetric matrix is rotated by 90°, it becomes a persymmetric matrix.
Symmetric persymmetric matrices are sometimes called bisymmetric matrices.
i.e., A persymmetric matrix is a square matrix which is symmetric in the northeast-to-southwest diagonal.
The form for Persymmetric matrix of order 5x5 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 = \begin{bmatrix} a_{11} & a_{12} & a_{13} & a_{14} & a_{15} \\ a_{21} & a_{22} & a_{23} & a_{24} & a_{14} \\ a_{31} & a_{32} & a_{33} & a_{23} & a_{13} \\ a_{41} & a_{42} & a_{32} & a_{22} & a_{12} \\ a_{51} & a_{41} & a_{31} & a_{21} & a_{11} \end{bmatrix}.}
In Calci MATRIX("persymmetric") shows the matrix with the negative and positive integer values.
MATRIX("persymmetric:boolean",5) gives the persymmetric matrix of order 5 with the values 0 and 1.

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 | 1 ||	0 || 1 || 0 ||	1
 |}
+==Related Videos==
+{{#ev:youtube|JCT3EaVLUeo|280|center|Symmetric Matrices}}
 ==See Also==