📖 Kernel and Image
For a linear transformation $T: V \\to W$: the kernel (null space) is $\\ker(T) = \\{v \\in V : T(v) = \\mathbf{0}\\}$ and the image (range) is $\\text{im}(T) = \\{T(v) : v \\in V\\}$.
From: Advanced Linear Algebra
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