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Mathematics 16 Online
OpenStudy (anonymous):

let V be a nonzero finite dimensional vector space over F and {v1,v2.....vn} be a basis of V over F. then, every subset of s over V containing M elements,m>n is linearly dependent. prove it

OpenStudy (anonymous):

it is true because basis of V consists of n elements(it is the maximal linearly independent set) and subset s of V consists of m elements which is greater than n ,,,,,,,so it is obviously linearly dependent set

OpenStudy (anonymous):

yes i know this statement but i need to prove how it become a linearly dependent once m>n

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