Can I read Proof of the Exchange Lemma on EtoBox?

Proof of the Exchange Lemma by Roy Vesey is a document available to read on EtoBox.

What is Proof of the Exchange Lemma about?

The document provides a proof of the Exchange Lemma from linear algebra. It states that if vectors v1, ..., vn are linearly independent and vectors w1, ..., wm are linearly independent where m > n, then there exists an index i such that the vectors v1, ..., vn, wi are also linearly independent. The proof proceeds by contradiction, assuming this is not true and showing it leads to a contradiction with the linear independence of the w vectors. It uses a previous result that a homogeneous system of fewer equat

Author

Roy Vesey

Language

EN