Kernel

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Created

Created

2023 Apr 17 7:26

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2025 Mar 24 17:14

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Nullspace

This concept is entirely different from the

Kernel Method. Here's what you need to know about kernels in linear algebra:

Definition: A kernel is a linear subspace of the domain of a map that gets mapped to the zero vector

Orthogonality Relationship: When vector v is orthogonal to vector u, we say that v belongs to the kernel of u

Ker(u) = {v ∈ V | <u,v> = 0}

Kernel (linear algebra)

In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the linear subspace of the domain of the map which is mapped 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:

Kernel (linear algebra)

https://en.wikipedia.org/wiki/Kernel_(linear_algebra)

Kernel (linear algebra)

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