GRASSMANNIAN SEMIGROUPS AND THEIR REPRESENTATIONS

VICTOR CAMILLO, MIODRAG C. IOVANOV
  • Journal of the Australian Mathematical Society, March 2018, Cambridge University Press
  • DOI: 10.1017/s1446788717000155

Products of Row Reduced Matrices are Row Reduced. We study this semi group structure.

What is it about?

Matrix multiplication and row reduction.

Why is it important?

Matrix Multiplication and row reduction are the first topics studied in any linear algebra course. They are related in an interesting way. The motivation for this article is teachable to undergraduates.

Perspectives

victor camillo (Author)
University of Iowa

Row Reduction was defined over a century and a half ago. This new property found in only one Modern textbook seems interesting to explore. Pierre Leroux is the author of this textbook and seems to be the only person to have noticed this phenomenon. We study the idea from a bit of an abstract perspective.

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http://dx.doi.org/10.1017/s1446788717000155

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