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.
Description
- 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.