Kernel (matrix)
In linear algebra, the kernel or null space (also nullspace) of a matrix A is the set of all vectors x for which Ax = 0. The kernel of a matrix with real coefficients and n columns is a linear subspace of n-dimensional Euclidean space. The dimension of the null space of A is called the nullity of A.
The null space of the matrix of a linear map is precisely the kernel of the map (i.e. the set of vectors that map to zero). For this reason, the kernel of a linear map between vector spaces is sometimes referred to as the null space of the map.
Read more about Kernel (matrix): Definition, Example, Subspace Properties, Basis, Relation To The Row Space, Nonhomogeneous Equations, Left Null Space, Null Space of A Linear Map, Computation of The Null Space On A Computer
Famous quotes containing the word kernel:
“We should never stand upon ceremony with sincerity. We should never cheat and insult and banish one another by our meanness, if there were present the kernel of worth and friendliness. We should not meet thus in haste.”
—Henry David Thoreau (1817–1862)