Linearly Independent Subsets : Partially Ordered by Inclusion
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Let X be any vector space over the field F, let L be a linearly independent subset
of X, and A be the set of linearly independent subsets of X containing L.
Then A is partially ordered by inclusion - why does it follow?
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Solution Summary
Partially Ordered by Inclusion is investigated. Linearly independent subsets for partially ordered by inclusions are examined.
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Because inclusion is a partial order on ANY family of subsets.
You just have to check A subset A for all A, A ...
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