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Can anyone please help me with this question. Thank you very much

2. (4 points) Consider a mapping where one data set is mapped to another. For instance if each word in English sentence has a mapping to a word or part of word in a sentence in another language. You can choose data in your domain 1. Prove by induction using an expanding dictionary mapping between the languages (or otherwise) that this mapping has an inverse if the mapping is bijective. That is, the translation can be reversed. 2. What happens when the mapping is not bijective. Consider two cases - if not injective and if not surjective. 2. (4 points) Consider a mapping where one data set is mapped to another. For instance if each word in English sentence has a mapping to a word or part of word in a sentence in another language. You can choose data in your domain 1. Prove by induction using an expanding dictionary mapping between the languages (or otherwise) that this mapping has an inverse if the mapping is bijective. That is, the translation can be reversed. 2. What happens when the mapping is not bijective. Consider two cases - if not injective and if not surjective