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State true or false. If the first and se...

State true or false. If the first and second rows of a determinant be interchanged then the sign of the determinant is changed.

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ARIHANT PUBLICATION-DETERMINANTS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 5(A))
  1. Evaluate the following determinants |{:(1,0,0),(2,3,5),(4,1,3):}|

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  2. Evaluate the following determinants |{:(-18,17,19),(3,0,0),(-14,5,2)...

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  3. State true or false. If the first and second rows of a determinant be ...

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  4. State true or false. If first and third rows of a determinant be inter...

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  5. State true or false. If in a third order determinant first row be chan...

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  6. State true or false. A row and a column of a determinant can have two ...

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  7. State true or false. The minor and the co-factor of the element a32 of...

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  8. State true of false. [[3,1,3],[0,4,0],[1,3,1]]=0

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  9. State True or False abs((6,4,2),(4,0,7),(5,3,4))=abs((6,4,5),(4,0,3)...

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

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

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

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

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

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

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

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

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

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

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