# Minimal Polynomial of T

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Let V be an inner-product space and suppose T element of L(V) is normal.

a) Prove that null T^k = null T for all positive integer k.

b) Prove that the minimal polynomial of T has no repeated roots.

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The minimal polynomial of T is clearly addressed.

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a) Let V be an inner-product space and suppose T element for L (V) is normal.

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