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What is the co-factor of a13 in \begin{vmatrix} 1 & 3 &2 \\ 5 & 8 & 2\\ 1 & 5& 6 \end{vmatrix} ?

  • Option 1)

    10

  • Option 2)

    -10

  • Option 3)

    17

  • Option 4)

    -17

 

Answers (1)

best_answer

As we have learnt,

 

Co-factor of an element of a determinant -

Co-factor of an element   a_{ij}  is defined  C_{ij}=\left ( -1 \right )^{i+j}M_{ij}

- wherein

M_{ij} denotes minor of   a_{ij}

 

 Minor of a13 = \begin{vmatrix} 3 & 2\\ 8 & 2 \end{vmatrix} = -10

 


Option 1)

10

Option 2)

-10

Option 3)

17

Option 4)

-17

Posted by

prateek

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