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Linear algebra - vector space.

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Let V be the set of functions having the set of real numbers as domain whose graphs pass through the point : a) (2,0)
b) (2,1)
Is V a Vector space?

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Solution Summary

The expert examines a set of functions having the set of real numbers as domains which pass through a point.

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To check whether V is a vector space, it must be closed under addition (i.e. if f and g are elements of V, then so must f + g) and closed under multiplication (i.e. if f is in V, then so must cf for any constant c). Also, V must include the 0 ...

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