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In: Advanced Math

Please justify and prove each statement (Use explicitly the four axioms) a) Prove that a finite...

Please justify and prove each statement (Use explicitly the four axioms)

a) Prove that a finite positive linear combination of metrics is a metric (Use explicitly the four axioms). If it is infinite, will it be metric?

b) Is the difference between two metrics a metric? (d1 - d2)

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