[線代] Prove Matrix power series

[adu (^_^)]

g is power series, A is a Matrix.

g(A) := sum  ai*(A^i)
       1->inf

Let Q be a regular matrix

Prove:

Qg(A)Q^-1 = g(QAQ^-1)



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推 sippo       :先考慮g(A)=A^k，證明後就很簡單了