Lecture 34: linear algebra ( Some results on basis of a vector space)

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Number of elements in the basis of a vector space is unique.

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super lectures, mam all videos i learned

ankitadatta

mam, how can be the set S2 be linearly dependent? for S2 be to linearly dependent we need that one of the element is the linear combination of other elements. Here Wm-1 is an element of V so we can write is as LC of elements but in set S2 we don't have vi element since it was deleted. Then how can we be sure that without vi we can write wm-1 as LC of {v1, v2, v3, , , vi-1, vi=1....vn}??

RahulSharma-noys

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