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Eigenvector Illustrator

Enter the a,b,c,d entries for the 2x2 matrix M and a starting point A1(x1, y1). The successive points A_{n+1} = M*A_n are plotted and the lengths of successive line segments and their ratios are listed in the spreadsheet. Compare the ratios with the eigenvalues.

ICTCM 2023

Dr. John Gresham Tarleton State University