Prove that det(AB) = det(A) · det(B) for any A, B € M2×2(F). Using elementary row operations, find the value of k that satisfies the following equation 2a1 det 3b1 +4c₁ 5c₁ 2a2 362 +4c2 5c₂ 2a3 3b3 + 4c3 5c3 = a1 A2 a3 k det b₁ b2 b3 C1 C2 C3

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