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  • Characteristic and minimal polynomials

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  • The minimal polynomial of a square matrix exists and is unique.
  • Definition of applying a polynomial to a square matrix
  • Definition of characteristic polynomial of a matrix
  • Definition of characteristic equation of a matrix
  • Definition of minimal polynomial of a matrix
  • The eigenvalues of a matrix are the roots/solutions of its characteristic polynomial/equation.
  • The characteristic polynomial applied to the matrix gives the 0 matrix.
  • The Cayley-Hamilton theorem for a matrix.
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  1. Definition of applying a polynomial to a square matrix

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  • Definition of applying a polynomial to a linear transformationClose match
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  • Definition of characteristic equation of a matrixClose match
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