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• 11 Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
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• 7 If $H$ is a Hilbert space and $M$ is a closed subspace of $H$, then $H/M$ is a Hilbert space
• 7 In Lie groups, why is left translation a diffeomorphism?
• 7 Are all Lie groups Matrix Lie groups?
• 6 Every complete regular surface is closed?
• 6 The Lie bracket of $\mathfrak{gl}_n(\mathbb{R})$ is the matrix commutator
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