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)
“A set of ideas, a point of view, a frame of reference is in space only an intersection, the state of affairs at some given moment in the consciousness of one man or many men, but in time it has evolving form, virtually organic extension. In time ideas can be thought of as sprouting, growing, maturing, bringing forth seed and dying like plants.”
—John Dos Passos (1896–1970)
“When I had mapped the pond ... I laid a rule on the map lengthwise, and then breadthwise, and found, to my surprise, that the line of greatest length intersected the line of greatest breadth exactly at the point of greatest depth.”
—Henry David Thoreau (1817–1862)