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Exercise 7.3.14

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The answer is no. Let $T$ be the identity mapping on $ℝ^{2}$ . And let $W_{1}$ be the $x$ -axis and $W_{2}$ be the $y$ -axis. The minimal polynomial of $T_{W_{1}}$ and $T_{W_{2}}$ are both $t - 1$ . But the minimal polynomial of $T$ is $(t - 1)$ but not ${(t - 1)}^{2}$ .

jephianlin

2011-06-27 00:00

Exercise 7.3.14

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