LetC be the set of
and define scalar multiplication by
for all real numbers
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- In Exercises 14-17, determine whether the given set, together with the specified operations of addition and scalar multiplication, is a complex vector space. If it is not, list all of the axioms that fail to hold. The set of all vectors in 2 of the form [zz], with the usual vector addition and scalar multiplicationarrow_forwardLet V be the set of all positive real numbers. Determine whether V is a vector space with the operations shown below. x+y=xyAddition cx=xcScalar multiplication If it is, verify each vector space axiom; if it is not, state all vector space axioms that fail.arrow_forwardProve that in a given vector space V, the additive inverse of a vector is unique.arrow_forward
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