Which of the following is the formula for cofactor of an element aij ?

1.	Which of the following is the formula for cofactor of an element aij ?
A.	A<sub>ij</sub>=(1)<sup>i+j</sup> M<sub>ij</sub>
B.	A<sub>ij</sub>=(-2)<sup>i+j</sup> M<sub>ij</sub>
C.	A<sub>ij</sub>=(-1)<sup>i+j</sup> M<sub>ij</sub>
D.	A<sub>ij</sub>=(-1)<sup>i-j</sup> M<sub>ij</sub>
Answer» D. A<sub>ij</sub>=(-1)<sup>i-j</sup> M<sub>ij</sub>

Discussion

For which of the following element in the determinant = ( begin{vmatrix}5&-5&8 6&2&-1 5&-6&8 end{vmatrix} ) , the minor and the cofactor both are zero.
For which of the following elements in the determinant = ( begin{vmatrix}2&8 4&7 end{vmatrix} ), the minor of the element is 2?
For which of the elements in the determinant = ( begin{vmatrix}1&8&-6 2&-3&4 -7&9&5 end{vmatrix} ) the cofactor is -37.
Find the minor of the element 2 in the determinant = ( begin{vmatrix}1&9 2&3 end{vmatrix} )?
If = ( begin{vmatrix}a_{11}&a_{12}&a_{13} a_{21}&a_{22}&a_{23} a_{31}&a_{32}&a_{33} end{vmatrix} ), then the determinant in terms of cofactors Aij can be expressed as a11 A11+a21 A21+a31 A31.
Find the cofactor of element -3 in the determinant = ( begin{vmatrix}1&4&4 -3&5&9 2&1&2 end{vmatrix} ).
Find the minor of the element 1 in the determinant = ( begin{vmatrix}1&5 3&8 end{vmatrix} ).
Find the minor and cofactor respectively for the element 3 in the determinant = ( begin{vmatrix}1&5 3&6 end{vmatrix} ).
What is the minor of the element 5 in the determinant = ( begin{vmatrix}1&5&4 2&3&6 7&9&4 end{vmatrix} )?
Which of the following is the formula for cofactor of an element aij ?