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kernel

$\ker T$ — every input a linear transformation sends to the zero vector.

For a linear transformation $T$ , the kernel, written $\ker T$ , is the set of every vector in $T$ 's domain that $T$ sends to the zero vector of the codomain. $\ker T$ is always a subspace of the domain, and when $T$ has standard matrix $A$ , $\ker T = \operatorname{Nul}(A)$ .

See also

null space linear transformation one-to-one

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