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Suppose ? ∈ ℒ(?) and ? is a subspace of ?. (a) Prove that if ?...

Suppose ? ∈ ℒ(?) and ? is a subspace of ?.

(a) Prove that if ? ⊆ null ?, then ? is invariant under ?.

(b) Prove that if range ? ⊆ ?, then ? is invariant under ?.

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