Question: Determine whether the given map is a homomorphism. Let M n be the additive group of all n x n matrices with real entries,

Determine whether the given map ∅ is a homomorphism.

Let M_n be the additive group of all n x n matrices with real entries, and let R be the additive group of real numbers. Let ∅(A) = det(A), the determinant of A, for A ∈ M_n.

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