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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
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