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Linear Algebra Done Right

Exercise 8.B.1

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Proof. By 8.21 (a), $V = G (0, N)$ . Since $G (0, N) = null N^{\dim V}$ (see 8.11), it follows that $N^{\dim V} = 0$ and so $N$ is nilpotent. □

celiopassos

2017-10-06 00:00

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