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show that |[a^2+x^2,ab ,ac],[ab,b^2+x^2,...

show that `|[a^2+x^2,ab ,ac],[ab,b^2+x^2,bc],[ac,bc,c^2+x^2]|` is divisible `x^4`

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SHARAM PUBLICATION-DETERMINANT-EXAMPLE
  1. Answer the following: What are the values of x and y if [[x,y],[1,...

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  2. Determine the maximum value of |[cosx sinx], [-sinx cosx-1]|.

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  3. show that |[a^2+x^2,ab ,ac],[ab,b^2+x^2,bc],[ac,bc,c^2+x^2]| is divisi...

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  4. Evaluate |[sin^2x, cos^2x,1],[cos^2x,sin^2x,1],[-10,12,2]|?

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  5. Evaluate [[1,a,b+c],[1,b,c+a],[1,c,a+b]]

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  6. Find the value of |[a-b,b+c,a],[b-a,c+a,b],[c-a,a+b,c]|?

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  7. If omega is a complex cube root of 1,then for what value of. lamda the...

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  8. IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5...

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  9. if a(ij) is the element in the ith row and jth column of a 3rd order d...

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  10. if a, b,c are in A.P. then what is the value of: |[x+1,x+2,x+a],[x+2,x...

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  11. If p+q+r=0=a+b+c, then write the value of the determinant |[pa,qb,rc],...

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  12. If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...

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  13. Answer the following: What are the values of x and y if [[x,y],[1,...

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  14. Write the value of k, if |{:(aa1,aa2,aa3),(ab1,ab2,ab3),(ac1,ac2,ac3...

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  15. Answer the following: What is the value of [[1/a,1,bc],[1/b,1,ca],[1...

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  16. Answer the following: In which inverval does the determinant A =[[1...

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  17. Evaluate the following determinants: [[1,0,-5863],[-7361,2,7361],[1,...

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  18. what is value of: |[cosec^2theta,cot^2theta,1],[cot^2theta,cosec^2thet...

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  19. Evaluate the following determinants. [[1,x,y],[0,sinx,siny],[0,cosx,c...

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  20. Evaluate the following determinants: [[a-b,b-c,c-a],[b-c,c-a,a-b],[c...

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