Prove that if : M n x n (F) is an alternating n-linear function, then

Prove that if δ : M _{n x n} (F) → is an alternating n-linear function, then there exists a scalar k such that δ(A) = k det(A) for all A ∈ M _{n x n} (F).

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Let M n x n F be an alternating nlinear function The objective is to show that a scalar k exists suc... View the full answer