Abstract
Suppose E, F are vector spaces and let φ: E → F be a linear mapping. Then the kernel of φ, denoted by ker φ, is the subset of vectors x ϵ E such that φx = 0. It follows from (1.8) and (1.9) that ker φ is a subspace of E.
In this chapter all vector spaces are defined over a fixed but arbitrarily chosen field, Γ, of characteristic 0.
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© 1975 Springer-Verlag New York Inc.
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Greub, W. (1975). Linear Mappings. In: Linear Algebra. Graduate Texts in Mathematics, vol 23. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9446-4_3
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DOI: https://doi.org/10.1007/978-1-4684-9446-4_3
Publisher Name: Springer, New York, NY
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