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Evaluate: (i) |(x^2+x y+y^2,x+y ),(x^2-x...

Evaluate: (i) `|(x^2+x y+y^2,x+y ),(x^2-x y+y^2,x-y)|`

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. The value of the determinant |a^2a1cosn xcos(n+1)xcos(n+2)xsinn xsin(n...

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  2. Evaluate: (i) |(5 ,4),(-2, 3)| (ii) |(sintheta,costheta),(-costheta,si...

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  3. Evaluate: (i) |(x^2+x y+y^2,x+y ),(x^2-x y+y^2,x-y)|

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  4. Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]| by expanding it along th...

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  5. Evaluate the determinant D=|[2 ,3,-2],[ 1, 2 ,3],[-2, 1,-3]| by expa...

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  6. Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]|

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  7. Evaluate =|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]| by method.

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  8. For what value of x the matrix A=[[1,-2,3],[1,2,1],[x,2,-3]] is singul...

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  9. Determine the values of x for which the matrix A=[x+1-3 4-5x+2 2 4 ...

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  10. If A=[1 3 2 1] , find the determinant of the matrix A^2-2A .

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  11. If A=[1 2 4 2] , then show that |2A|=4|A| .

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  12. If |[x-2 ,-3], [3x, 2x]|=3 , find the values of x

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  13. Let |[3,y],[x,1]|=|[3,2],[4,1]| Find possible values of x and y if x,y...

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  14. Evaluate the determinant =|((log)3 512,(log)4 3),((log)3 8,(log)4 9)...

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  15. Find the minors of cofactors of elements of the matrix A=[a(i j)]=[[1,...

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  16. Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...

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  17. If [ ] denotes the greatest integer less than or equal to the real nu...

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  18. Prove that the determinant |(x,sin theta,cos theta),(-sin theta,-x,1),...

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  19. Write the minors and cofactors of each element of the first column o...

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  20. Write the minors and cofactors of each element of the first column o...

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