Q.

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.
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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