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IF the value of the third order determin...

IF the value of the third order determinant is 12, then find the value of the determinant formed by replacing each element by its cofactor.

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The correct Answer is:
144
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ARIHANT PUBLICATION-DETERMINANTS -CHAPTER PRACTICE
  1. For what value of x, A=[(2(x+1),2x),(x,x-2):}]singular matrix

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  2. Find x if [(1,2,x),(1,1,1),(2,1,-1):}]is singular

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  3. IF the value of the third order determinant is 12, then find the value...

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  4. IF for the non singular matrix A,A^2=I then find A^-1

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  5. A is a non singular symmetric matrix, write whether A^-1 is symmetric ...

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  6. Show that: abs((1,a,a^2),(1,b,b^2),(1,c,c^2))=(a-b)(b-c)(c-a)

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  7. Prove that |[x, y, z],[x^2, y^2, z^2], [x^3, y^3, z^3]|=xyz(x-y)(y-z)(...

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  8. Prove the following : [[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]]-(5x+4)(4-x...

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  9. Prove that: |[1, 1+p, 1+p+q],[2, 3+2p, 1+3p+2p], [3, 6+3p, 1+6p+3q ]|=...

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  10. Without expanding the determinants prove that |{:(a,a^2,bc),(b,b^2,c...

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  11. IF a,b and c are in AP then find the value of the determinant |{:(x+2,...

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  12. Without expanding evaluate the determinant , |{:(sina,sinbeta,sin(a+d...

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  13. Prove that the determinant |{:(x, sin theta, cos theta),(-sin theta,...

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  14. Using properties of determinants evaluate |{:(0,ab^2,ac^2),(a^2b,0,b...

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  15. Prove the following: [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=4a^2b^...

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  16. Using properties of determinats show that |{:(a,a+b,a+2b),(a+2b,a,a+b)...

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  17. Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...

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  18. Evaluate |{:(1,1,1),(nC1,n+2C1,n+4C1),(nC2,n+2C2,n+4C2):}|

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  19. Find the values of k, if the area of traingle is 4sq units and vertice...

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  20. Show that the points A(a,b+c), B(b,c+a) and C(c,a+b) are collinear.

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