Question: Q10) please explain so that i can read your handwriting. 10. Let V be a vector space over F and B={v1,v2,,vn}V. Then the followings are

Q10) please explain so that i can read your handwriting.

10. Let V be a vector space over F and B={v1,v2,,vn}V. Then the followings are equivalent. 1) B={v1,,vn} is a basis of V. 2) For each vV,v=a1v1++anvn is a unique representation

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