Matrices and Determinants
Part of the Universitext book series (UTX)
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We have already noticed that a linear map ø: k → k is completely determined by its value on one element of k, e.g., on 1. Also we noted that a linear map
is determined by φ(1,0) and φ(0,1). We Will now see how a linear map
$$ \varphi :k^2 \to k $$
(V, W being vector over k of dimensions n, m) is determined by nm elements of k.
$$ \varphi :V \to W $$
KeywordsVector Space Unit Element Similar Matrice Real Vector Space Algebraic Multiplicity
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 1990