Manuals/calci/CENTROSYMMETRIC

MATRIX("CENTROSYMMETRIC",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 Centro symmetric matrix.

Description

• This function gives the matrix of order 3 which is satisfying the property of centrosymmetric.
• A centrosymmetric is the square matrix which is symmetric with its center.
• An n × n matrix A = [ Ai,j ] is centrosymmetric when its entries satisfy

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_{i,j} = A_{n−i+1,n−j+1} for 1 \le i,j \le n } .

• All 2x2 centrosymmetric matrices have the form.....
• All 3×3 centrosymmetric matrices have the form....
• Symmetric Toeplitz matrices are centrosymmetric.
• Here MATRIX("centrosymmetric",5) gives centrosymmetric matrices of order 5.