Show that the examples given in Example 26.5 are indeed inner product spaces. Data from example 26.5

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Show that the examples given in Example 26.5 are indeed inner product spaces.

Data from example 26.5

Example 26.5 (1) The typical finite-dimensional R" (R-vector space) n (x, y) = xiyi i=1 1/2 Ball= (x) / ||x||

Every inner product space becomes a normed space with norm given by (26.2), but not every normed space is

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