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Exercises 2933 assume that W is a subspace of a vector space V and that T: V > V is linear. Warning: Do not assume

Exercises 2933 assume that W is a subspace of a vector space V and that T: V > V is linear. Warning: Do not assume that W is T-invariant or that T is a projection unless explicitly stated. 30. If W is T-invariant, prove that Tw is linear

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