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If omega is a non-real cube root of u...

If `omega` is a non-real cube root of unity and `n` is not a multiple of 3, then `=|1omega^nomega^(2n)omega^(2n)1omega^nomega^nomega^(2n)1|` is equal to (a) 0 (b) `omega` (c) `omega^2` (d) 1

A

0

B

1

C

`omega`

D

`omega^2`

Text Solution

Verified by Experts

The correct Answer is:
B
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  2. If A=[{:(a,b),(b,a):}] and A^(2)=[{:(alpha, beta),(beta, alpha):}] the...

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  3. If omega is a non-real cube root of unity and n is not a multiple o...

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  4. if a,b,c are positive and are the pth qth and rth terms respectively ...

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  5. If one of the cube roots of 1 be omega, then |(1,1+omega^2,omega^2),(...

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  6. If A is a symmetric matrix and B is a skew-symmetric matrix such that ...

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  7. The total number of matrices A = [{:(0, 2y, 1), (2x, y, -1), (2x, -y,...

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  8. Let A={:(cosalpha,-sinalpha),(sinalpha,cosalpha):},(ainR) such that A...

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  9. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

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  10. Let A = ((0,2q,r),(p,q,-r),(p,-q,r)). If A A^(T) = I(3), then |p| is

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  11. The value of theta lying between 0 and pi/2 and satisfying the equatio...

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  13. If Delta(1) =|{:(x, sin theta, cos theta),(-sin theta, -x, 1),(cos the...

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  14. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

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  15. Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0. ...

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  16. If |(1,1,1),(2,b,c),(4,b^(2),c^(2))| and |A| = in [2, 16]. 2, b, c and...

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  17. If A = [(1,sin theta, 1),(-sintheta, 1, sin theta),(-1, -1sin theta, 1...

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  18. |(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|

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  19. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

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  20. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

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