## A solution of the matric equation P(X) |

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algebra bilineare Formen bilinearen binomial equation Cecioni characteristic equation characteristic function column Comptes Rendus consequently corresponding Crelle's Journal degree in common distinct polynomials distinct roots elementary divisors equation of lowest equation P(X equation P(X)=A equation XP equation XP=A eT>l expressible as polynomials factor in common factor of i(X factor of X factor X field F Frobenius given matrix identity 9 II(X Kreis least one simple linear linearly independent lowest degree satisfied Mathematical Papers MATRIC EQUATION matrix of order member is zero members of 9 method multiple factor multiple root non-singular number of distinct number of simple polynomial of degree polynomial of lowest polynomial P(X polynomial X present theorem quadratic factor quaternions right member roots of P(X roots of X)=0 satisfies the identity satisfy an identity scalar coefficients second degree simple root singular matrix solution obtained solution Xk square matrix Substitute 3*T Sylvester theory Tk(A Weierstrass write the identity