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solve {:[( 3a,-a+b,-a+c),( -b+a, 3b,-b+c...

solve `{:[( 3a,-a+b,-a+c),( -b+a, 3b,-b+c) ,( -c+a,-c+b,3c) ]:} = 3( a+b+c) ( ab+bc+ca) `

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CENGAGE-DETERMINANTS-All Questions
  1. By using properties of determinants , show that : {:[( 1+a^(2) -b^(2...

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  2. Which of the following values of alpha satisfy the equation |{:((...

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  3. solve {:[( 3a,-a+b,-a+c),( -b+a, 3b,-b+c) ,( -c+a,-c+b,3c) ]:} = 3( a+...

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  4. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

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  5. \begin{bmatrix}6i&-3i&1\\ 4 &3i& -1\\ ...

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  6. The value of |[yz, z x,x y],[ p,2q,3r],[1, 1, 1]|,w h e r ex ,y ,z are...

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  7. Prove that |((beta+gamma-alpha-delta)^4,(beta+gamma-alpha-delta)^2,1),...

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  8. Prove that the value of each the following determinants is zero: |si...

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  9. The number of values of k for which the lines (k+1)x+8y=4k a n dk x+(k...

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  10. 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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  11. 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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  12. 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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  13. Prove that =|1 1 1 a b c b c+...

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

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

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

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

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

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

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

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