let A be a diagonalizable matrix with eignvalues = x1, x2, ..., xn(adsbygoogle = window.adsbygoogle || []).push({});

the characteristic polynomial of A is

p (x) = a1 (x)^n + a2 (x)^n-1 + ...+an+1

show that inverse A = q (A) for some polynomial q of degree less than n

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# Eigenvalues problem

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