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For each of the following linear transformations, decide whether it is injec- tive, surjective, both, or neither. Justify your answers carefully. (a) 4:S + S

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For each of the following linear transformations, decide whether it is injec- tive, surjective, both, or neither. Justify your answers carefully. (a) 4:S + S (an)n + (ana)n ( (b) W:S + S (an)n # ((n 3n +n + 2)an)n - n

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