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Martin Sleziak
Martin Sleziak
10:34 PM
-1
Q: On the basis of a finite dimensional vector space

hinkaliTo introduce the notion of a basis of a finite dimensional vector space, the following Proposition or its equivalent should be proved: Given two $n-$frames (sequence of linearly independent vectors) $\|e_j\|_n, \|f_j\|_n$ in a vector space, the vector $f_j$ contained in the linear span of $\|...

linear-algebra
@MartinSleziak Slightly off-topic, but since I'm not on MSE: perhaps you would like to add a comment somewhere on that other question, that the argument attributed to Beardon was given in an American Math Monthly article of J. W. Ford: doi.org/10.1080/00029890.1995.11990583 — Yemon Choi 13 mins ago
 
Martin Sleziak
Martin Sleziak
10:44 PM
Yemon Choi commented on a related question on MO that "the argument attributed to Beardon was given in an American Math Monthly article of J. W. Ford: doi.org/10.1080/00029890.1995.11990583". The title of the paper is Avoiding the Exchange Lemma. I will add also a jstor link. — Martin Sleziak 7 mins ago
@YemonChoi I've posted a comment under the linked question - I hope approximately what you had in mind. If needed we can continue this discussion in chat - as not to leave here too many comments not directly related to the post. — Martin Sleziak 13 secs ago
 

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