Fibonacci Determinants

The Fibonacci sequence of numbers appears in many surprising places. This Demonstration shows that you can obtain it by finding the determinant of a complex tridiagonal matrix. By changing just a single matrix element you can obtain the Lucas numbers instead.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

The theory behind these particular matrices and others like them can be found in N. D. Cahill, J. R. D'Errico, D. A. Narayan, and J. Y. Narayan, "Fibonacci Determinants," The College Mathematics Journal, 33(3), 2002 pp. 221–225.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.