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:
“After night’s thunder far away had rolled
The fiery day had a kernel sweet of cold”
—Edward Thomas (1878–1917)