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2. Let V IR3 and define a function (,): V x VR by 2 -1 0 (v, w)=-1 2 -1w. 0 -1 2 (a)

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2. Let V IR3 and define a function (,): V x VR by 2 -1 0 (v, w)=-1 2 -1w. 0 -1 2 (a) Verify that the given function is an inner product on V. (b) Starting with the standard basis of V, use the Gram-Schmidt process to find an orthonormal basis of V. (c) Leto: VR be the linear functional defined by (E)) - =21-22+3x3. Use the Reisz Representation Theorem to a vector R such that o() = (, ).

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