Using the fact that the matrix 0 0 0 0 -CO 1 0 -Ci 0 0 0 1 0 -C2 0 0 0 1 - Cn-1 has the characteristic polynomial p(1) = Co + 11 + ... + en -in - 1 + in find a matrix with the characteristic polynomial p(1) = 1 - 61 + 12 +213 + 14
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