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Every norm defines a metric in a canonical way: d(x, y) = |x - y|, but not every metric corresponds to a norm. Also, metrics define a topology in the space, and this make the space a topological vector space.
Every norm defines a metric in a canonical way: d(x, y) = |x - y|, but not every metric corresponds to a norm. Also, metrics define a topology in the space, and this make the space a topological vector space.
[[Category:Linear algebra]]
[[Category:Linear Algebra]]