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Kac Matrix


The (n+1)×(n+1) tridiagonal matrix (also called the Clement matrix) defined by

 S_n=[0 n 0 0 ... 0; 1 0 n-1 0 ... 0; 0 2 0 n-2 ... 0; | | ... ... ... |; 0 0 0 n-1 0 1; 0 0 0 0 n 0].

The eigenvalues are 2k-n for k=0, 1, ..., n.


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Cite this as:

Weisstein, Eric W. "Kac Matrix." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KacMatrix.html

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