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The value of determinant |[b c-a^2,a c-b...

The value of determinant `|[b c-a^2,a c-b^2,a b-c^2],[a c-b^2,a b-c^2,b c-a^2],[a b-c^2,b c-a^2,a c-b^2]|` is a. always positive b. always negative c. always zero`` d. cannot say anything

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CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. Value of |{:(1+x(1),,1+x(1)x,,1+x(1)x^(2)),(1+x(2),,1+x(2)x,,1+x(2)x^(...

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  2. If f(x)=|(a1+x, b1+x, c1+x), (a2+x, b2+x, c2+x),(a3+x, b3+x, c3+x)|, s...

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  3. The value of determinant |[b c-a^2,a c-b^2,a b-c^2],[a c-b^2,a b-c^2,b...

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  4. Prove that the value of each the following determinants is zero: |a...

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  5. If l1^2+m1^2+n1^2=1 etc., and l1 l2+m1 m2+n1 n2 = 0, etc. and Delta...

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  6. The value of determinant |[ ^n C(r-1), ^n Cr, (r+1)^(n+2)C(r+1)],[ ^n...

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  7. Let |(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B x^3+C x^2+D x+Edot Then the va...

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  8. If the determinant |b-cc-a a-bb^(prime)-c ' c^(prime)-a ' a^(prime)-b ...

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  9. Let a ,b , c be the real numbers. The following system of equations in...

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  10. The value of the determinant |(sintheta, costheta, sin2theta) , (sin(t...

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  11. Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...

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  12. let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d))...

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  13. Prove that: cos(A+B+C)+cos(A-B+C)+cos(A+B-C)+cos(-A+B+C)=4cos A\ cos B...

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  14. Let lambdaa n dalpha be real. Find the set of all values of lambda for...

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  15. Prove that |[a x-b y-c z, a y+b x, c x+a z], [a y+b x, b y-c z-a x, b...

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  16. If f(x)=|(a1+x, b1+x, c1+x), (a2+x, b2+x, c2+x),(a3+x, b3+x, c3+x)|, s...

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  17. If alpha,beta,gamma are different from 1 and are the roots of a x^3+b ...

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  18. If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],...

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  19. Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...

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  20. If 2s=a+b+c and A=|[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[(s-c)^...

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