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If omega is the complex cube root of uni...

If `omega` is the complex cube root of unity then ` |[1,1+i+omega^2,omega^2],[1-i,-1,omega^2-1],[-i,-i+omega-1,-1]|=`

A

1

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i

C

w

D

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D
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. Determinant |{:(a+b+nc,(n-1)a,(n-1)b),((n-1)c,b+c+na,(n-1)b),((n-1)c,(...

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  2. If |{:(a,5x,p),(b,10y,5),(c,15z,15):}| = 125, then find the value of |...

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  3. If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...

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  4. For positive numbers x,y,s the numberical value of the determinant |{:...

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  5. If the value of (a + b + c)= 0 then determinant |{:(a-b-c,2a,2a),(2b,b...

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  6. If a1, a2, a3,....... are in G.P. then the value of determinant |(log(...

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  7. If adjB=A ,|P|=|Q|=1,t h e na d j(Q^(-1)B P^(-1)) is P Q b. Q A P c. P...

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  8. If A = [{:(1,tan x),(-tanx,1):}] , then the value of |A' A^(-1)|

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  9. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

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  10. If A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=

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  11. The matrix [(lamda,-1,4),(-3,0,1),(-1,1,2)] is invertible if

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  12. If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | ...

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  13. If A = [{:(0,-1,2),(2,-2,0):}], B = [{:(0,1),(1,0),(1,1):}] and M = AB...

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  14. If for AX=B, B=[[9], [52], [0]] and A^(-1)=[[3, -(1)/(2), -(1)/(2)], [...

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  15. If matrix [(1,2,-1),(3,4,5),(2,6,7)] and its inverse is denoted by A^(...

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  16. If A = [{:(1,0),(1,1):}] , then value of A^(-a) is

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  17. If A is a non-singular matrix of order 3, then |adj A| = |A|^(n) here ...

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  18. If A = [{:(2,4,5),(4,8,10),(-6,-12,-15):}]. Then rank of A is equal to...

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  19. If the area of triangle with vertices (2,-6), (5,4) and (k,4) is 35. T...

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  20. Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2c^2), (1+ab+a^2b^2, 1+b^2+b^4,...

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