In algebra, the determinant is useful value that can be computer from the elements of a square matrix. The determinant is represented as det 'A' or `|A|` and its value can be evaluated by the expansion of the determinant as given below
(A) Expansion of two order determinant :
(B) Expansion of `3^(rd)` order determinant
(i) With respect to first fow :
`|A|=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=a_(1)|{:(b_(2),c_(2)),(b_(3),c_(3)):}|-b_(1)|{:(a_(2),c_(2)),(a_(3),c_(3)):}|+c_(1)|{:(a_(2),b_(2)),(a_(3),b_(3)):}|`
`=a_(1)(b_(2)c_(3)-b_(3)c_(2))-b_(1)(a_(2)c_(3)-a_(3)c_(2))+c_(1)(a_(2)b_(3)-b_(2)a_(3))`
(ii) With respect to second column :
`|A|=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=-b_(1)|{:(a_(2),c_(1)),(a_(3),c_(3)):}|+b_(2)|{:(a_(1),c_(1)),(a_(3),c_(3)):}|-b_(3)|{:(a_(1),c_(1)),(a_(2),c_(2)):}|`
Similarly a determinant can be expanded with respect to any row or column.
The vaue of the determinant `|{:(5,1),(3,2):}|is:` `"(a) 4 (b) 5 (c) 6 (d) 7 "`

Options

A. 4
B. 5
C. 6
D. 7