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Exercise 2.4.13

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First we have that $V$ is isomorphic to $V$ by identity mapping. If $V$ is isomorphic to $W$ by mapping $T$ , then $T^{- 1}$ exist by the definition of isomorphic and $W$ is isomorphic to $V$ by $T^{- 1}$ . If $V$ is isomorphic to $W$ by mapping $T$ and $W$ is isomorphic to $X$ by mapping $U$ , then $V$ is isomorphic to $X$ by mapping $UT$ .

jephianlin

2011-06-27 00:00

Exercise 2.4.13

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