Unformatted text preview: (a) Evaluate the norm of the function f given by f ( t ) = 1t for all t ∈ [1 , 1] [see the deﬁnition of the norm given in the question above]. (b) Let g be deﬁned by g ( t ) = t for all t ∈ [1 , 1]. Is f orthogonal to g ? 3. (a) Show that in the onedimensional vector space C over the complex ﬁeld and with the standard inner product, the vectors u = i and v = 1 are not orthogonal to each other. (b) In the twodimensional plane R 2 under the standard inner product, show that u = (0 , 1) and v = (1 , 0) are orthogonal to each other. 4. § 6.2 #4, 10, 12, 18 and § 6.3 #4, 8....
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 Spring '10
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 Linear Algebra, Algebra, Vector Space, inner product, Inner product space, standard inner product

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