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

Evaluate `[[1,a,b+c],[1,b,c+a],[1,c,a+b]]`

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Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]

Evaluate abs[[1,a,bc],[1,b,ca],[1,c,ab]]-abs[[1,a,b^2],[1,b,b^2],[1,c,c^2]]

Find the value of [[1,a,b+a],[1,b,c+a],[1,c,a+b]] .

Fill in the blanks with appropriate answer from the brackes. [[1,a,b+c],[1,b,c+a],[1,c,a+b]] =_______

What is the value of abs[[a,b+c,1],[b,c+a,1],[c,a+b,1]] ?

Prove that [[1,a,a^2 - bc],[1,b,b^2 - ca],[1,c,c^2 - ab]]

Evaluate [[a,a^2-bc,1],[b,b^2-ac,1],[c,c^2-ab,1]]

Prove the following : [[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]] =0

Using properties of determinants , prove that |{:(1,a,bc),(1,b,ca),(1,c,ab):}|=(a-b)(b-c)(c-a)

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

SHARAM PUBLICATION-DETERMINANT-EXAMPLE
  1. 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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  2. Evaluate |[sin^2x, cos^2x,1],[cos^2x,sin^2x,1],[-10,12,2]|?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Write the value of |[2,3,4],[5,6,8],[6x,9x,12x]|

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  20. What is the value of : |[4,a,b+c ],[4,b,c+a],[4,c,a+b]|

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