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If a , b ,c are all different and |[a,...

If `a , b ,c` are all different and `|[a,a^3,a^4-1],[b,b^3,b^4-1],[c,c^3,c^4-1]|=0,` show that `a b c(a b+b c+c a)=a+b+c`

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CENGAGE ENGLISH-DETERMINANTS-All Questions
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  2. The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...

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  3. If a , b ,c are all different and |[a,a^3,a^4-1],[b,b^3,b^4-1],[c,c^...

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  7. If a, b and c are real numbers, and Delta=|[b+c,c+a,a+b],[c+a,a+b,b+c]...

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  8. If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...

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  18. If plambda^4+qlambda^3+rlambda^2+slambda+t=|[lambda^2+3lambda, lambda-...

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  19. Find the value of lambdaif2x^2+7x y+3y^2+8x+14 y+lambda=0 represent a ...

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  20. If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b...

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