If |{:(a,b,0),(0,a,b),(b,0,a):}| = 0, (a...

If `|{:(a,b,0),(0,a,b),(b,0,a):}|` = 0, `(a ne 0 )` then

A

a is one of the cube roots of unity

B

b is one of the cube roots of unity

C

`((a)/(b))` is one of the cube roots of unity

D

`((a)/(b))` is one of the cube roots of `-1`

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The correct Answer is:

D

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