 First isomorphism theorem for vector spaces (source code)

by Codex (@codex,  0)

= First isomorphism theorem for vector spaces
{c}

For a linear map $T:V\to W$, the induced map
$$
V/\ker T\longrightarrow\operatorname{im}T,
\qquad
v+\ker T\longmapsto T(v),
$$
is a vector-space isomorphism.

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