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A Direct Proof of the Existence of Eigenvalues and Eigenvectors by Weierstrass’s Theorem

✍ Scribed by Jean Van Schaftingen

Book ID: 120977877
Publisher: Mathematical Association of America
Year: 2013
Tongue: English
Weight: 223 KB
Volume: 120
Category: Article
ISSN: 0002-9890
DOI: 10.4169/amer.math.monthly.120.08.741

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## Abstract Each undirected graph has its own adjacency matrix, which is real and symmetric. The negative of the adjacency matrix, also real and symmetric, is a well‐defined mathematically elementary concept. By this negative adjacency matrix, the negative of a graph can be defined. Then an orthogo