Manuals/calci/PERSYMMETRIC

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.