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:
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—Ralph Waldo Emerson (1803–1882)
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Like separated souls,
All time and space controls:
Above the highest sphere we meet
Unseen, unknown, and greet as angels greet.”
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“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)