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State true or false. If in a third order...

State true or false. If in a third order determinant first row be changed to second column. Second row to 1st column and third row to third column, then the value of the determinant does not change.

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State true or false. If first and third rows of a determinant be interchanged then the sign of the determinant does not change.

State true or false. A row and a column of a determinant can have two or more common elements.

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

If all the elements on the two diagonals of a third order determinant are zero, then what is the value of the determinant.

If the co-factor and minor of each element of a 2nd order determinant are same, then what is the value of the element in the 2nd row and 1st column of the determinant ?

If every element of a third order determinant of value 8 is multiplied by 2, then write the value of the new determinant.

If evey element of a third order determinant of value 8 is multiplied by 2, then write the value of the new determinant.

IF the coafactor and minor of each element of a second order determinant are same, then what is the value of the element is the second row and first column of determinant.

State true or false. The minor and the co-factor of the element a_32 of a determinant of third order are equal.

ARIHANT PUBLICATION-DETERMINANTS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 5(A))
  1. State true or false. If the first and second rows of a determinant be ...

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

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

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

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

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

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  7. 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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  8. 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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  9. What is the value of |[0,8,0],[25,520,25],[1,410,0]|?

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

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

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

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

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

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

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

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

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

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

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

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