Determinantshard
0:00.0

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

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