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Asked Mar 5, 2020
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Suppose that <·, :>1 and <, >2 are two inner products on a vector space V. Prove that < ·, > =< · , :>1 +< • , ·>2 is
another inner product on V.
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Suppose that <·, :>1 and <, >2 are two inner products on a vector space V. Prove that < ·, > =< · , :>1 +< • , ·>2 is another inner product on V.

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