Answered

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Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. C[0, 1], the set of all continuous functions defined on the interval [0, 1], with the standard operations

Sagot :

batolisis

Answer:

It is a vector space

Step-by-step explanation:

The  set of all continuous functions C[0,1 ] defined on the interval [0,1] is a  vector space

as proven below ( attached below is a required proof that it is a vector space )

The set checks out for additivity, scalar multiplication and associativity hence it is a vector space

View image batolisis
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