Question: Suppose V is a finite-dimensional complex vector space, T L(V ) is diagonalizable, and all eigenvalues of T are strictly below 1 in absolute value.

Suppose V is a finite-dimensional complex vector space, T L(V ) is diagonalizable, and all eigenvalues of T are strictly below 1 in absolute value. Given V' and v V , what is lim(n) ((T^n)v)?

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