Question: (1) Given a subset U g V and a linear map T : V > V we say U is Tz'nvam'ant if T(U) Q U.

(1) Given a subset U g V and a linear map T : V > V we say U is Tz'nvam'ant if T(U) Q U. Show that if U1, U2 Q V are Tinvariant subsets, then so is U1 + U2. (2) Given any T E C(V), prove that {0}, V, Ker(T), and Im(T) are all T-invariant subspaces

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