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IF omega is cube root of unity, then |{:...

IF `omega` is cube root of unity, then `|{:(1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega):}|`= ……….`(1,0,omega, omega^2)`

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ARIHANT PUBLICATION-DETERMINANTS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 5(A))
  1. State true of false. [[2,3,4],[5,6,7],[1,2,3]]=[[4,2,3],[7,5,6],[3,1,2...

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  2. What is the value of |[0,8,0],[25,520,25],[1,410,0]|?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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