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Minors and Co-factors

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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)`.
Video link : https://youtu.be/KMKd993vG9Q

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

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