Determine whether the function is a linear transformation. T: M2,2-R, T(A) = a + b = c - d, where A linear transformation not a linear transformation

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A: answer is in next step. please give a like!!

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A: Topic:- permutation and combinations

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A: det3j2-3j3-3j-120-j1-j=3jdet-12-j1-j-2-3jdet-3j201-j+3·det-3j-10-j=3j-1+3j-2-3j-3-3j+3-3=-3-6j

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A: The objective of the question is choose the correct relationship.