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)
“At first thy little being came:
If nothing once, you nothing lose,
For when you die you are the same;
The space between, is but an hour,
The frail duration of a flower.”
—Philip Freneau (1752–1832)
“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)