No CrossRef data available.
Article contents
Patterns among square roots of the 2 × 2 identity matrix
Published online by Cambridge University Press: 15 February 2024
Extract
The 2 × 2 identity matrix, $${I_2} = \left( \begin{gathered}{\rm{1 \,\,\,0}} \hfill \\{\rm{0 \,\,\,1}} \hfill \\ \end{gathered}\right)$$, has an infinite number of square roots. The purpose of this paper is to show some interesting patterns that appear among these square roots. In the process, we will take a brief tour of some topics in number theory, including Pythagorean triples, Eisenstein triples, Fibonacci numbers, Pell numbers and Diophantine triples.
- Type
- Articles
- Information
- Copyright
- © The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association