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Prove that `|b+c a-b a c+a b-c b a+b c-a c|=3a b-a^3-b^3-c^3dot`

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CENGAGE-DETERMINANTS-All Questions
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  2. The number of values of k for which the lines (k+1)x+8y=4k a n dk x+(k...

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  3. Prove that |b+c a-b a c+a b-c b a+b c-a c|=3a b-a^3-b^3-c^3dot

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  4. If |a^2b^2c^2(a+1)^2(b+1)^2(c+1)^2(a-1)^2(b-1)^2(c-1)^2|=k(a-b)(b-c)(c...

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  5. Statement 1: "Delta"=|m y+n z m q+n r m b+n c k z-m x k r-m p k c-m a-...

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  6. Prove that =|1 1 1 a b c b c+...

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  7. If the determinant ∣ cos(θ+ϕ) sinθ −cosθ ​−sin(θ+ϕ) cosθ sinθ cos2ϕ ...

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  8. The system of equations -2x+y+z=a, x-2y+z=b, x+y-2z=c, has: (a)...

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

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  10. determinant |"cos theta sin theta -sin theta cos theta

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  11. If Deltar =|[2^(r-1) ,2.3^(r-1), 4.5^(r-1)],[alpha,beta,gamma],[2^n-1,...

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

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

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  14. If a ,b , c are nonzero real numbers such that |b cc a a b c a a bb c ...

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  15. Prove that the determinant {:[( x, sin theta ,cos theta ),( -sin thet...

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  16. 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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  17. Find the value of |1 2 4-1 3 0 4 1 0|

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

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

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