Null Space of A Linear Map
If V and W are vector spaces, the null space (or kernel) of a linear transformation T: V → W is the set of all vectors in V that map to zero:
If the linear map is represented by a matrix, then the kernel of the map is precisely the null space of the matrix.
Read more about this topic: Kernel (matrix)
Famous quotes containing the words null, space and/or map:
“A strong person makes the law and custom null before his own will.”
—Ralph Waldo Emerson (1803–1882)
“No being exists or can exist which is not related to space in some way. God is everywhere, created minds are somewhere, and body is in the space that it occupies; and whatever is neither everywhere nor anywhere does not exist. And hence it follows that space is an effect arising from the first existence of being, because when any being is postulated, space is postulated.”
—Isaac Newton (1642–1727)
“The Management Area of Cherokee
National Forest, interested in fish,
Has mapped Tellico and Bald Rivers
And North River, with the tributaries
Brookshire Branch and Sugar Cove Creed:
A fishy map for facile fishery....”
—Allen Tate (1899–1979)