Answer to Question #68953 in Linear Algebra for ABHIJIT MOHANTY

Question #68953

Let V be a vector space over a field F and let T : V → V be a linear operator. Show
T ( W ) ⊂ W for any subspace W of V if and only if there is a λ ∈ F such that T v = λ v
for all v ∈ V .

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