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  • Definition: Let T: V -> W be a linear transformation. The kernel of T, denoted ker(T), is the set of all vectors in V that are mapped by T to the zero vector in W. That is, ker(T) = {v in V| T(v) = 0}.

    Source: Linear Algebra: A Modern Introduction, 3rd edition by David Poole (note-custom edition titled Matrix Algebra)

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