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Using the property of determinants and without expanding prove the following
`|{:(1,omega^n,omega^(2n)),(omega^(2n),1,omega^n),(omega^n,omega^(2n),1):}|=0` where `omega` is a cube root of unity

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KUMAR PRAKASHAN-DETERMINANTS -Practice Work
  1. Using the property of determinants and without expanding prove the fol...

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  2. Using the property of determinants and without expanding prove the fol...

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  3. Using the property of determinants and without expanding prove the fol...

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  4. Using the property of determinants and without expanding prove the fol...

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  5. Using the property of determinants and without expanding prove the fol...

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  6. Using the properties of determinants, solve the following for x |{:(...

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  7. Prove that |{:(a+1,1,1),(1,b+1,1),(1,1,c+1):}|=abc(1/a+1/b+1/c+1)

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  8. Using the properties of determinants, prove the following |{:((b+c)^...

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  9. Using the properties of determinants, prove the following |{:((x-2)^...

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  10. Using the properties of determinants, prove the following It 2s=a+b+...

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  11. Using the properties of determinants, prove the following |{:(a^2,b^...

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  12. If p^(th),q^(th)and r^(th) tern of G.P are a,b and c respectively then...

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  13. If a,b,c are A.P then |{:(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c):}...

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  14. Using the properties of determinants, prove the following |{:(a,b-c,...

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  15. Using the properties of determinants, prove the following |{:((a+b)^...

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  16. Find area of the triangle withh vertices at the point given in each of...

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  17. Find area of the triangle withh vertices at the point given in each of...

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  18. Find area of the triangle withh vertices at the point given in each of...

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  19. Find area of the triangle with vertices at the point given in each of ...

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  20. Find values of k if area of triangle is 4 sq. units and vertices are (...

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