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+//example no.3.2
+// show if a given matrix 'A' possesses 'property A'
+
+A=[2 -1 0 -1;-1 2 -1 0;0 -1 2 0;0 0 -1 2 ]
+
+P=[0 0 0 1;0 1 0 0;0 0 1 0;1 0 0 0]             // let us take the pemutation matrix as P
+
+// then we find that 
+
+P*A*P'
+
+// is of the form (3.2) . hence the matrix 'A' has property A
+