If a skew-symmetric matrix of order 2×2 is formed with zero and cube roots of unity, then the determinant of such matrices formed can be
A
0
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B
1
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C
ω
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D
ω2
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Solution
The correct option is Dω2 From given condition, only possible matrix is [0b−b0] or [0−bb0] ∴ Determinant of matrix is b2, (where b= cube root of unity)
When b=1; Determinant =12=1
When b=ω; Determinant =ω2
When b=ω2; Determinant =ω4=ω