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\Delta =\begin{vmatrix} 0 & i-100 & i-500\\ 100-i & 0 & 1000-i\\ 500-i& i-1000 &0 \end{vmatrix} is equal to

  • Option 1)

    100

  • Option 2)

    500

  • Option 3)

    1000

  • Option 4)

    0

 

Answers (1)

best_answer

As we have learned

Skew symmetric determinant -

All the diagonal elements are zero and the elements situated at equal distatnce from the diagonal are equal in magnitude but opposite in sign.

- wherein

\begin{vmatrix} 0 & b &-c \\ -b& 0 &a \\ c& -a & 0 \end{vmatrix}

 

 

The determinant is skew symmetric of odd order and hence equal to 0.

                         Hence (D) is the  correct answer.

 


Option 1)

100

Option 2)

500

Option 3)

1000

Option 4)

0

Posted by

gaurav

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