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If alpha is a cube root of unity, then f...

If `alpha` is a cube root of unity, then find the value of `|[alpha,alpha^3,alpha^5],[alpha^3,alpha^5,alpha],[alpha^5,alpha,alpha^3]|`

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MCGROW HILL PUBLICATION-DETERMINANTS-SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)
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  3. Suppose f(a,b,x,y)=|(1,x,x^(2)),(cos((a-b)y),cos(ay),cos((a+b)y)),(s...

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  4. If |(a+b+2c,a,b),(c,2a+b+c,b),(c,a,a+2b+c)|=432/125 then a+b+c=

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  5. Let f(x)=|(5x-8,3,3),(3,5x-8,3),(3,3,5x-8)| Sum of the roots of f(x)...

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  6. Let N=|(10!,11!,12!),(11!,12!,13!),(12!,13!,14!)| Then N/((10!)(11...

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  7. Suppose a,b,c are real numbers such that |(1+a,1,1),(1,1+b,1),(1,1,1...

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  8. Suppose |(b+c,a,b),(c+a,c,a),(a+b,b,c)|=4k(a+b+c)(c-a)^(2)……………1 wh...

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  9. Evaluate |{:(265, 240, 219),(240, 225, 198), (219, 198, 181):}|

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  10. Suppose (a(1),b(1)),(a(2),b(2)) and (a(3),b(3)) are vertices of an equ...

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  11. Suppose a,b,cgt0. If |(x(1),y(1),2a),(x(2),y(2),2b),(x(3),y(3),2c)|=...

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  12. Let f(x)=|(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x)| then |f(2.9)^(1//3)|=

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  13. If alpha is a cube root of unity, then find the value of |[alpha,alp...

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  14. Suppose a(1)+a(2)+a(3)+1.3,b(1)+b(2)+b(3)=2.1,c(1)+c(2)+c(3)=1.6 and ...

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  15. Suppose a,b,c are three distinct real numbers such that a,b,c !=1.1 an...

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  16. Suppose A is a 3xx3 matrix such that det(A)=2.2 then ("det"(adj(adjA))...

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  17. For x epsilon R let f(x)=|((x-4)^(2),(x-3)^(2),(x-2)^(2)),((x-3)^(2...

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