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  • Confused! kindly explain, - Matrices and Determinants - JEE Main-3

If \begin{vmatrix} a & b &c \\ d& e & f\\ a'& b' & c' \end{vmatrix} = A;then \begin{vmatrix} a'& b' & c' \\ a & b &c \\ d& e & f \end{vmatrix} =

  • Option 1)

    -A

  • Option 2)

    A

  • Option 3)

    Both \pm A

  • Option 4)

    None of these

 

Answers (1)

best_answer

As we have learnt,

 

Property of determinant -

If any two row ( or column ) of a determinant are interchanged , the resulting determinant is the negative of the original determinant.

-

 

 Interchange R1 and R3, and R2 and R3; thus we get exact same diterminant.

 


Option 1)

-A

Option 2)

A

Option 3)

Both \pm A

Option 4)

None of these

Posted by

Aadil

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