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)
“Why not a space flower? Why do we always expect metal ships?”
—W.D. Richter (b. 1945)
“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)