Question: Linear Algebra / Real Analysis Assitance (e) Show that a norm || . || defined on a vector space S is induced by an inner

Linear Algebra / Real Analysis Assitance

(e) Show that a norm || . || defined on a vector space S is induced by an inner product if and only if the following parallelogram law is satisfied for all x, y e S: 21/x /12 + 2/ly/12 = 1/x + >/12 + //x-yl/2. One of these directions is trickier than the other

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