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Manuals/calci/CENTROSYMMETRIC (view source)
Revision as of 18:10, 17 April 2015
, 18:10, 17 April 2015no edit summary
<div style="font-size:30px">'''CENTROSYMMETRIC'''</div><br/>
<div style="font-size:30px">'''MATRIX("CENTROSYMMETRIC",order)'''</div><br/>
*<math> order </math> 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
<math>A_{i,j} = A_{n−i+1,n−j+1} for 1 \le i,j \le n </math>.
*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.