Abstract
Aims/Objectives: In this review article we study the computation of the minimum polynomialof a matrix A and how we can use it for the computation of the matrix An. We also describethe form of the elements of the matrix A-n and we will see that it is closely related with thecomputation of the Drazin generalized inverse of A. Next we study the computation of theexponential matrix and nally we give a simple proof of the Leverrier - Faddeev algorithm forthe computation of the characteristic polynomial.
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