Minor (linear Algebra) - Detailed Definition

Detailed Definition

Let A be an m × n matrix and k an integer with 0 < km, and kn. A k × k minor of A is the determinant of a k × k matrix obtained from A by deleting mk rows and nk columns.

Since there are:

(read "m choose k")

ways to choose k rows from m rows, and there are

ways to choose k columns from n columns, there are a total of

minors of size k × k.

Read more about this topic:  Minor (linear Algebra)

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