Question 2. Let T : V →V and S : V→V be two operators. Let U be a T-invariant and S-invariant subspace. a) Is U a T + S-invariant subspace and a TS-invariant subspace? YES NO b) Assume that TS = ST. Are ker T and ImT S-invariant subspaces? YES NO

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A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…