#### 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)`.

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#### Shaalaa.com | Determinants part 21 (Minors and Cofactors)

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