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Prove that the value of determinant |{...

Prove that the value of determinant `|{:(1,,omega,,omega^(2)),(omega ,,omega^(2),,1),( omega^(2),, 1,,omega):}|=0`
where `omega` is complex cube root of unity .

A

0

B

1

C

3

D

2

Text Solution

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A
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AAKASH INSTITUTE ENGLISH-DETERMINANTS -SECTION A
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  8. If A, B and C are three sqare matrices of the same order such that A ...

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  9. If Delta =|(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)| then the value of |(2a1+3...

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  10. If the system of equations x + 4ay + az = 0 and x + 3by + bz = 0 and x...

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  11. Let ax^3+bx^2+cx+d=|{:(3x,x+1,x-1),(x-3,-2x,x+2),(x+3,x-4,5x):}| then ...

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