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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]| ?

ARIHANT PUBLICATION-DETERMINANTS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 5(A))
  1. What is the value of |[0,8,0],[25,520,25],[1,410,0]|?

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  2. IF omega is cube root of unity, then |{:(1,omega,omega^2),(omega,omega...

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

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  4. If |[a,b,c],[b,a,b],[x,b,c]|=0 then x=.

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  5. Fill in the blanks with appropriate answer from the brackets. [[a1+a2,...

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  6. What is the minimum value of |[sin x ,cosx], [-cosx, 1+ sinx]|?

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  7. Fill in the blanks with appropriate answer from the brackes. The deter...

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  8. Fill in the blanks with appropriate answer from the brackets. With 4 d...

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  9. Solve the following : [[4,x+1],[3,x]]=5

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  10. Solve the following : [[x,a,a],[m,m,m],[b,x,b]]=0

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  11. Solve the following : [[7,6,x],[2,x,2],[x,3,7]]=0

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  12. Solve the following : [[0,x-a,x-b],[x+a,0,x-c],[x+b,x+c,0]]=0

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  13. Factorize the following. [[x+a,b,c],[b,x+c,a],[c,a,x+b]]

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  14. Solve the following : [[1+x,1,1],[1,1+x,1],[1,1,1+x]]=0

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  15. Solve the following : [[1,4,20],[1,-2,5],[1,2x,5x^2]]=0

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  16. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

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  17. Solve the following : [[2,2,x],[-1,x,4],[1,1,1]]=0

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  18. Solve the following : [[x,1,3],[1,x,1],[3,6,3]]=0

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  19. Evaluate the following : [[2,3,4],[1,-1,3],[4,1,10]]

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  20. Evaluate the following :[[x,1,2],[y,3,1],[z,2,2]]

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