Suppose F D R and V f0g. Replace the positivity condition (whichstates that hv; vi 0 for
Chapter 6, Problem 3(choose chapter or problem)
Suppose F D R and V f0g. Replace the positivity condition (whichstates that hv; vi 0 for all v 2 V ) in the definition of an inner product(6.3) with the condition that hv; vi > 0 for some v 2 V. Show that thischange in the definition does not change the set of functions from V Vto R that are inner products on V.
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