Faddeev–LeVerrier algorithm: Difference between revisions

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This polynomial is obviously monic. Undid revision 1302918736 by Goodphy (talk)
 
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where, evidently, {{math|''c<sub>n</sub>''}} = 1 (characteristic polynomials are [[Monic polynomial|monic polynomials]]) and {{math|''c''}}<sub>0</sub> = (−1)<sup>''n''</sup> det {{mvar|A}}.
 
The coefficients {{math|''c<sub>n-i</sub>''}} are determined by induction on {{mvar|i}}, using an auxiliary sequence of matrices
:<math> \begin{align}
M_0 &\equiv 0 & c_n &= 1 \qquad &(k=0) \\