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Let omega be a complex cube root of unit...

Let `omega` be a complex cube root of unity with `omega!=1a n dP=[p_(i j)]` be a `nxxn` matrix withe `p_(i j)=omega^(i+j)dot` Then `p^2!=O ,when=` a.`57` b. `55` c. `58` d. `56`

A

57

B

55

C

58

D

56

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The correct Answer is:
B, C
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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
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  3. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

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  4. The quadratic equation p(x)=0 with real coefficients has purely imagin...

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  14. If x+i y=sqrt((a+i b)/(c+i d)) prove that (x^2+y^2)^2=(a^2+b^2)/(c^2+d...

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  15. If x=a+b,y=a alpha+b beta and z=abeta+ b alpha , where alpha and beta...

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  16. Express 1//(1-costheta+2isintheta) in the form x=i y .

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