define vector space isomorphism
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Definition: If U and V are vector spaces over R, and if L : U → V is a linear, one-to-one, and onto mapping, then L is called an isomorphism (or a vector space isomorphism), and U and V are said to be isomorphic.
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Definition: If U and V are vector spaces over R, and if L : U → V is a linear, one-to-one, and onto mapping, then L is called an isomorphism (or a vector space isomorphism), and U and V are said to be isomorphic.
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