Question: Let L, M be linear functions. (a) Prove that rng(L M) rng L. (b) Give an example where rng(L M) rng

Let L, M be linear functions.
(a) Prove that rng(L ○ M) ⊆ rng L.
(b) Give an example where rng(L ○ M) ≠ rng L.

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