Minors and Co-factors

definition

Minor of an element a_(ij) of a determinant is the determinant obtained by deleting its ith row and jth column in which element a_(ij) lies. Minor of an element a_(ij) is denoted by M_(ij).
Remark:  Minor of an element of a determinant of order n(n ≥ 2) is a determinant of order n – 1.

Definition :  Cofactor of an element a_(ij), denoted by A_(ij) is defined by A_(ij) = (–1)^(i + j) M_(ij), where M_(ij) is minor of a_(ij).

If you would like to contribute notes or other learning material, please submit them using the button below.

Shaalaa.com

Determinants part 21 (Minors and Cofactors) [00:12:52]
S
0%