Kernel (linear algebra)
Inverse image of zero under a homomorphism / From Wikipedia, the free encyclopedia
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For other uses, see Kernel (disambiguation).
In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the part (or linear subspace) of the domain which the map maps to the zero vector.[1] That is, given a linear map L : V → W between two vector spaces V and W, the kernel of L is the vector space of all elements v of V such that L(v) = 0, where 0 denotes the zero vector in W,[2] or more symbolically: