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Determinantshard
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A 3×33 \times 33×3 matrix AAA has column vectors c1,c2,c3\mathbf{c}_1, \mathbf{c}_2, \mathbf{c}_3c1​,c2​,c3​ with Euclidean norms: ∥c1∥=2,∥c2∥=3,∥c3∥=5\|\mathbf{c}_1\| = 2, \quad \|\mathbf{c}_2\| = 3, \quad \|\mathbf{c}_3\| = 5∥c1​∥=2,∥c2​∥=3,∥c3​∥=5

By Hadamard's inequality, which bound on ∣det⁡(A)∣|\det(A)|∣det(A)∣ is guaranteed?