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Question Number 141653 by Mathspace last updated on 21/May/21
what is condition to have  log( I +A)=Σ a_n A^n   and determine the sequence (a_n )  A ∈ M_n (C)
$${what}\:{is}\:{condition}\:{to}\:{have} \\ $$$${log}\left(\:{I}\:+{A}\right)=\Sigma\:{a}_{{n}} {A}^{{n}} \\ $$$${and}\:{determine}\:{the}\:{sequence}\:\left({a}_{{n}} \right) \\ $$$${A}\:\in\:{M}_{{n}} \left({C}\right) \\ $$

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