yda Posted November 27, 2004 Posted November 27, 2004 I need to prove that if T is regular matix than: ((T^-1)AT)^n=(T^-1)(A^n)T
stevem Posted November 27, 2004 Posted November 27, 2004 If n=2 then [math]\left(T^{-1}AT\right)^2=T^{-1}ATT^{-1}AT=T^{-1}AIAT=T^{-1}A^{2}T[/math] This should help you to construct a proof by induction.
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