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Prove that =|1 1 1a b c b c+a^2a c+b^2a ...

Prove that `=|1 1 1a b c b c+a^2a c+b^2a b+c^2|=2(a-b)(b-c)(c-a)`

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CENGAGE ENGLISH-DETERMINANTS-All Questions
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  2. Bond energies can be obtained by using the following relation: DeltaH ...

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  3. Prove that =|1 1 1a b c b c+a^2a c+b^2a b+c^2|=2(a-b)(b-c)(c-a)

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  4. If =|s inthetacosvarphisinthetas invarphicosthetacosthetacosvarphicost...

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  6. Show that if x1, x2, x3!=0 |x1+a1b1a1b2a1b3a2b1x2+a2b2a2b3a3b1a3b2x3+...

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  7. Figure shows a wire ring of radius a that is perpendicular to the gene...

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  9. The values of k in R for which the system of equations x+k y+3z=0,k x...

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  10. A determinant of second order is made with the elements 0 and 1. Fi...

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  12. Prove that the determinant |[x, sintheta,costheta],[-sintheta,-x,1],[...

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  13. Consider the determinant f(x)=|0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|dot...

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  14. Find the value of |[1, 2, 4],[-1,3, 0],[4 ,1, 0]|

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  15. Consider the system of the equation k x+y+z=1,x+k y+z=k ,a n dx+y+k z=...

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  16. If x+y+z=0 prove that |[a x, b y, c z],[ c y, a z ,b x],[ b z ,c x ,a ...

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  17. Each question has four choices a, b, c and d, out of which only one is...

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  18. If a ,b ,c in R , then find the number of real roots of the equat...

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  19. Delta = |(a, a^2, 0),(1, 2a+b,(a+b)),(0, 1, 2a+3b)| is divisible by a....

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  20. Without expanding at any stage, prove that the value of each of the...

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