Find the co-factor of a₁2} in the following: ...

CBSE Class 12 Math 2008 Solved Paper

Question : 5 of 29

Marks: +1, -0

Find the co-factor of

a_{12}

in the following:

\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}

Solution:

\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}

Cofactor of

a_{12}

(-1)^{1+2}

[6(-7) - 4(1)] = (-1) [-42 - 4] = 46

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