If $M_{ij}$ is the minor of an element $a_{ij}$, then its cofactor $C_…

Question

If $M_{ij}$ is the minor of an element $a_{ij}$, then its cofactor $C_{ij}$ is

Accepted Answer

C. $C_{ij}=(-1)^{i+j}M_{ij}$

The cofactor of the element in the $i$th row and $j$th column is defined by $C_{ij}=(-1)^{i+j}M_{ij}$. Thus the sign depends on whether $i+j$ is even or odd.

Answer

$C_{ij}=M_{ij}$ for all $i,j$

Answer

$C_{ij}=(-1)^{i-j}M_{ij}$

Answer

$C_{ij}=-(i+j)M_{ij}$