Question No. 9 • Linear vector space must contain an element zero Answer A. O True B. O False
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Answer:
True
Explanation:
The existence of the zero vector is one of the axioms of a vector space. So, in order to be a vector space, this axiom must be satisfied.
The zero vector is needed to state the axiom defining the additive inverse of a vector. So, without a zero vector axiom, that axiom also is lost. What is left then no longer has the properties one wants for a vector space.
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