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29.tex
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29.tex
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@ -18,9 +18,18 @@ Then $T$ is one-to-one (or injective) if for any $a,b\in V$,
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$a\ne b$ implies that $T(a)\ne T(b)$.
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{\it See Unit 9, def. 2.4 at the bottom of p. 7.}
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\beginsection{What is an isomorphism?}
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\beginsection What is an isomorphism?
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A function that is both one-to-one and onto.
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Two vector spaces are isomorphic if there is an isomorphism between them.
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{\it See Uint 9, p. 7}.
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{\it See Unit 9, p. 7}.
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\beginsection What does ``dimension'' mean?
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Every vector space has a basis.
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The dimension of a vector space is the cardinality of its basis.
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{\it See Unit 11, p. 1.}
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\end
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