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## Main Question or Discussion Point

Consider the nXn matrix A whose elements are given by,

[TEX] A_{ij} = 1 if i=j+1 or i=j-1 or i=1,j=n or i=n,j=1

= 0 otherwise

[/TEX]

What are the eigenvalues and normalized eigenvectors of A??

[TEX] A_{ij} = 1 if i=j+1 or i=j-1 or i=1,j=n or i=n,j=1

= 0 otherwise

[/TEX]

What are the eigenvalues and normalized eigenvectors of A??