Let be a finite dimensional vector space over a field . Let be a linear transformation on satisfying . Show that admits a basis of eigenvectors for .
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Originally Posted by JJMC89 Let be a finite dimensional vector space over a field . Let be a linear transformation on satisfying . Show that admits a basis of eigenvectors for . the minimal polynomial of divides the min. pol. of is the product of different linear factors is diagonalizable there's a basis of of eigenvectors of . Tonio
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