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Fill in the blanks with appropriate answer from the brackets. With 4 different elements we can construct ________ number of different determinants of order 2.

A

1

B

6

C

8

D

24

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

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

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

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

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

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

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

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

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

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

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  16. Evaluate the following :[[a,h,g],[h,b,f],[g,f,c]]

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  17. Evaluate the following : [[8,-1,-8],[-2,-2,-2],[3,-5,-3]]

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  18. Evaluate the following : [[sin^2theta,cos^2theta,1],[cos^2theta,sin^2t...

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

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  20. Evaluate the following : [[11,23,31],[12,19,14],[6,9,7]]

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