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)
“The peculiarity of sculpture is that it creates a three-dimensional object in space. Painting may strive to give on a two-dimensional plane, the illusion of space, but it is space itself as a perceived quantity that becomes the peculiar concern of the sculptor. We may say that for the painter space is a luxury; for the sculptor it is a necessity.”
—Sir Herbert Read (1893–1968)
“If all the ways I have been along were marked on a map and joined up with a line, it might represent a minotaur.”
—Pablo Picasso (1881–1973)