If a determinant of order 3 x 3 is formed by using the numbers 1 or -1, then the minimum value of the determinant is
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a
-2
b
-4
c
0
d
-8
answer is B.
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Detailed Solution
Let Δ=a11 a12 a13a21 a22 a23a31 a32 a33Applying C2→C2−a12a11C1,C3→C3−a13a11C1, we getΔ=a1100a21a22−a12a11×a21a23−a13a11a21a31a32−a12a11×a31a32−a13a11×a31which has minimum value of -4.