Detailed Definition
Let A be an m × n matrix and k an integer with 0 < k ≤ m, and k ≤ n. A k × k minor of A is the determinant of a k × k matrix obtained from A by deleting m − k rows and n − k 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)
Famous quotes containing the words detailed and/or definition:
“... every event has had its cause, and nothing, not the least wind that blows, is accident or causeless. To understand what happens now one must find the cause, which may be very long ago in its beginning, but is surely there, and therefore a knowledge of history as detailed as possible is essential if we are to comprehend the past and be prepared for the future.”
—Pearl S. Buck (18921973)
“The physicians say, they are not materialists; but they are:MSpirit is matter reduced to an extreme thinness: O so thin!But the definition of spiritual should be, that which is its own evidence. What notions do they attach to love! what to religion! One would not willingly pronounce these words in their hearing, and give them the occasion to profane them.”
—Ralph Waldo Emerson (18031882)